Math Notes Class 9 Exercise 2.3

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Math Notes Class 9 Exercise 2.3

“Math” a compulsory subject for 9th class Science students. and Math Notes Class 9 Exercise 2.3 English Medium (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you 9th class math notes Solution for your better preparation. 9th class Science Students can get more practice and  prepared through these important mathematics class 9 notes solutions. We are providing you these notes in the pdf files in which you can easily download and save. 9th class general math notes pdf is available for preparation here. Lets take a visit on English Medium also Urdu Medium version and enjoy your study also share with your friends for the easiness of other classmates and colleagues.

(DOWNLOAD IN PDF FORMAT)

Note: If you find any error, then just inform us in comments or email address admin@eStudent.pk


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Math Ch#2, 09th Class

Here MCQs for your Revision

For Good Revision & Grip on Concept, You Should take the MCQs and Revise it again and again

Good Luck. . . .  (:

Welcome

You Should Enter your Name

1 / 15

If we write \sqrt[7]{x} in exponential form _______ (Choose one option)

(a)  = x

(b) = x^{7}

(c) = x^{\frac{1}{7}}

(d) = x^{\frac{7}{2}}

2 / 15

\left ( \frac{25}{16} \right )^\frac{-1}{2} = ________

3 / 15

if x,y,z ∈ R, z<0, then x < y ⇒ __________

4 / 15

The real part of 2ab(\iota +\iota ^2) is ________

5 / 15

Name the property of real number used in \left ( -\frac{\sqrt{5}}{2} \right )\times 1 = -\frac{\sqrt{5}}{2}

6 / 15

in \sqrt[3]{35} the Radicand is _________

7 / 15

the value of \iota ^9 is ________

8 / 15

\left ( 27x^{-1} \right )^{\frac{-2}{3}} = _________ (Select Correct Option)

a) = \frac{\sqrt[3]{x^2}}{9}

b) = \frac{\sqrt[]{x^3}}{9}

c) = \frac{\sqrt[3]{x^2}}{8}

d) = \frac{\sqrt[]{x^3}}{8}

9 / 15

Imaginary part of -ι (3ι +2) is _______

10 / 15

Which of the following sets have the closure property w.r.t addition__________

11 / 15

if a, b ∈ R, then only one of a = b or a < b or a > b holds is called __________

12 / 15

A non-terminating, non-recurring decimal represents ____________

13 / 15

Every Real number is _______

14 / 15

The conjugate of 5+4ι is ____________

15 / 15

if we write 4^{\frac{2}{3}} with radical sign then it is _________

(a) = \sqrt[3]{4^2}

(b) = \sqrt{4^3}

(c) = \sqrt[2]{4^3}

(d) = \sqrt{4^6}

(Choose Correct Option)

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)


Exercise 1.2           (English)            (Urdu)


Exercise 1.3           (English)            (Urdu)


Exercise 1.4           (English)            (Urdu)


Exercise 1.5           (English)            (Urdu)


Exercise 1.6           (English)            (Urdu)


Exercise 1-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)


Exercise 2.2           (English)            (Urdu)


Exercise 2.3           (English)            (Urdu)


Exercise 2.4           (English)            (Urdu)


Exercise 2.5           (English)            (Urdu)


Exercise 2.6           (English)            (Urdu)


Exercise 2-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)


Exercise 3.2           (English)            (Urdu)


Exercise 3.3           (English)            (Urdu)


Exercise 3.4           (English)            (Urdu)


Exercise 3-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)


Exercise 4.2           (English)            (Urdu)


Exercise 4.3           (English)            (Urdu)


Exercise 4.4           (English)            (Urdu)


Exercise 4-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)


Exercise 5.2           (English)            (Urdu)


Exercise 5.3           (English)            (Urdu)


Exercise 5.4           (English)            (Urdu)


Exercise 5-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)


Exercise 6.2           (English)            (Urdu)


Exercise 6.3           (English)            (Urdu)


Exercise 6-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 7.1           (English)            (Urdu)


Exercise 7.2           (English)            (Urdu)


Exercise 7.3           (English)            (Urdu)


Exercise 7-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)


Exercise 8.2           (English)            (Urdu)


Exercise 8.3           (English)            (Urdu)


Exercise 8-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)


Exercise 9.2           (English)            (Urdu)


Exercise 9.3           (English)            (Urdu)


Exercise 9-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)


Exercise 10.2           (English)            (Urdu)


Exercise 10.3           (English)            (Urdu)


Exercise 10.4           (English)            (Urdu)


Exercise 10-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)


Exercise 11.2           (English)            (Urdu)


Exercise 11.3           (English)            (Urdu)


Exercise 11.4           (English)            (Urdu)


Exercise 11.5           (English)            (Urdu)


Exercise 11-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)


Exercise 12.2           (English)            (Urdu)


Exercise 12.3           (English)            (Urdu)


Exercise 12-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)


Exercise 13.2           (English)            (Urdu)


Exercise 13-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)


Exercise 14.2           (English)            (Urdu)


Exercise 14-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)


Exercise 15-Rev   (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)


Exercise 16.2           (English)            (Urdu)


Exercise 16-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)


Exercise 17.2           (English)            (Urdu)


Exercise 17.3           (English)            (Urdu)


Exercise 17.4           (English)            (Urdu)


Exercise 17.5           (English)            (Urdu)


Exercise 17-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions


9th Math Science Group (English Medium)


9th Math Science Group (Urdu Medium)


9th Math Arts Group (Urdu Medium)



Class 9th Math Notes pdf (Solution)

There are Seventeen chapters in Mathematics 9th Class for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. Anyone can download the PDF file of the notes. Note that, you can view these notes only if you have PDF reader software/ App on your device. However online view of the notes is also available on eStudent.pk . You can find all solution along with 9th Class Math Notes in Urdu (Science Group), Math MCQs Class 9. if you are searching the topics like Math Notes Class 9, 9th class math notes, Math notes for class 9, math notes class 9 pdf, class 9 maths notes pdf, maths class 9 notes punjab board, key book of mathematics 9th class punjab text book pdf, 9th class math notes chapter 2, 9th class math solution chapter 2 pdf, math notes class 9 chapter 2, Math Notes Class 9 Exercise 2.3, exercise 2.3 class 9, exercise 2.3 class 9 then this post is specially for you and your future. All Boards of Intermediate & Secondary Educations in Punjab, Federal Board of Intermediate and Secondary Education, kpd board, Sindh board, Agha Khan Board and also Allama Iqbal Open University are taking examination according to Mathematics 9th Class. 9th Class Math key book pdf in English.


Notes of 9th Class Math:

related keywords are math notes class 9 pdf, math notes class 9 kpk board, math notes class 9 urdu medium, math notes class 9 chapter 1, fbise math notes class 9, general math notes class 9, adamjee math notes class 9, ncert math notes class 9, math notes class 9th, maths notes class 9, maths notes class 9 kerala syllabus, maths notes class 9 kpk, maths notes class 9 state syllabus, maths notes class 9 chapter 1, maths notes class 9 sindh board, maths notes class 9 pdf, maths ncert notes class 9. And people also searching for class 9 maths notes pdf, 9th class math notes chapter 2, mathematics class 9 pdf, 9th class math solution pdf free download, maths class 9 notes punjab board,

Math Notes Class 9 Exercise 2.2

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Math Notes Class 9 Exercise 2.2

“Math” a compulsory subject for 9th class Science students. and Math Notes Class 9 Exercise 2.2 English Medium (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you 9th class math notes Solution for your better preparation. 9th class Science Students can get more practice and  prepared through these important mathematics class 9 notes solutions. We are providing you these notes in the pdf files in which you can easily download and save. 9th class general math notes pdf is available for preparation here. Lets take a visit on English Medium also Urdu Medium version and enjoy your study also share with your friends for the easiness of other classmates and colleagues.

(DOWNLOAD IN PDF FORMAT)

Note: If you find any error, then just inform us in comments or email address admin@eStudent.pk


0%
4 votes, 4 avg
76

Revise / Test Your MCQs

Time is over

Thanks for taking Quiz, Click Finish Button to see your Result


Math Ch#2, 09th Class

Here MCQs for your Revision

For Good Revision & Grip on Concept, You Should take the MCQs and Revise it again and again

Good Luck. . . .  (:

Welcome

You Should Enter your Name

1 / 15

The real part of 2ab(\iota +\iota ^2) is ________

2 / 15

the value of \iota ^9 is ________

3 / 15

Imaginary part of -ι (3ι +2) is _______

4 / 15

\left ( \frac{25}{16} \right )^\frac{-1}{2} = ________

5 / 15

Name the property of real number used in \left ( -\frac{\sqrt{5}}{2} \right )\times 1 = -\frac{\sqrt{5}}{2}

6 / 15

if we write 4^{\frac{2}{3}} with radical sign then it is _________

(a) = \sqrt[3]{4^2}

(b) = \sqrt{4^3}

(c) = \sqrt[2]{4^3}

(d) = \sqrt{4^6}

(Choose Correct Option)

7 / 15

if a, b ∈ R, then only one of a = b or a < b or a > b holds is called __________

8 / 15

The conjugate of 5+4ι is ____________

9 / 15

in \sqrt[3]{35} the Radicand is _________

10 / 15

\left ( 27x^{-1} \right )^{\frac{-2}{3}} = _________ (Select Correct Option)

a) = \frac{\sqrt[3]{x^2}}{9}

b) = \frac{\sqrt[]{x^3}}{9}

c) = \frac{\sqrt[3]{x^2}}{8}

d) = \frac{\sqrt[]{x^3}}{8}

11 / 15

Every Real number is _______

12 / 15

If we write \sqrt[7]{x} in exponential form _______ (Choose one option)

(a)  = x

(b) = x^{7}

(c) = x^{\frac{1}{7}}

(d) = x^{\frac{7}{2}}

13 / 15

A non-terminating, non-recurring decimal represents ____________

14 / 15

if x,y,z ∈ R, z<0, then x < y ⇒ __________

15 / 15

Which of the following sets have the closure property w.r.t addition__________

Your score is

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)


Exercise 1.2           (English)            (Urdu)


Exercise 1.3           (English)            (Urdu)


Exercise 1.4           (English)            (Urdu)


Exercise 1.5           (English)            (Urdu)


Exercise 1.6           (English)            (Urdu)


Exercise 1-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)


Exercise 2.2           (English)            (Urdu)


Exercise 2.3           (English)            (Urdu)


Exercise 2.4           (English)            (Urdu)


Exercise 2.5           (English)            (Urdu)


Exercise 2.6           (English)            (Urdu)


Exercise 2-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)


Exercise 3.2           (English)            (Urdu)


Exercise 3.3           (English)            (Urdu)


Exercise 3.4           (English)            (Urdu)


Exercise 3-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)


Exercise 4.2           (English)            (Urdu)


Exercise 4.3           (English)            (Urdu)


Exercise 4.4           (English)            (Urdu)


Exercise 4-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)


Exercise 5.2           (English)            (Urdu)


Exercise 5.3           (English)            (Urdu)


Exercise 5.4           (English)            (Urdu)


Exercise 5-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)


Exercise 6.2           (English)            (Urdu)


Exercise 6.3           (English)            (Urdu)


Exercise 6-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 7.1           (English)            (Urdu)


Exercise 7.2           (English)            (Urdu)


Exercise 7.3           (English)            (Urdu)


Exercise 7-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)


Exercise 8.2           (English)            (Urdu)


Exercise 8.3           (English)            (Urdu)


Exercise 8-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)


Exercise 9.2           (English)            (Urdu)


Exercise 9.3           (English)            (Urdu)


Exercise 9-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)


Exercise 10.2           (English)            (Urdu)


Exercise 10.3           (English)            (Urdu)


Exercise 10.4           (English)            (Urdu)


Exercise 10-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)


Exercise 11.2           (English)            (Urdu)


Exercise 11.3           (English)            (Urdu)


Exercise 11.4           (English)            (Urdu)


Exercise 11.5           (English)            (Urdu)


Exercise 11-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)


Exercise 12.2           (English)            (Urdu)


Exercise 12.3           (English)            (Urdu)


Exercise 12-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)


Exercise 13.2           (English)            (Urdu)


Exercise 13-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)


Exercise 14.2           (English)            (Urdu)


Exercise 14-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)


Exercise 15-Rev   (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)


Exercise 16.2           (English)            (Urdu)


Exercise 16-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)


Exercise 17.2           (English)            (Urdu)


Exercise 17.3           (English)            (Urdu)


Exercise 17.4           (English)            (Urdu)


Exercise 17.5           (English)            (Urdu)


Exercise 17-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions


9th Math Science Group (English Medium)


9th Math Science Group (Urdu Medium)


9th Math Arts Group (Urdu Medium)



Class 9th Math Notes pdf (Solution)

There are Seventeen chapters in Mathematics 9th Class for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. Anyone can download the PDF file of the notes. Note that, you can view these notes only if you have PDF reader software/ App on your device. However online view of the notes is also available on eStudent.pk . You can find all solution along with 9th Class Math Notes in Urdu (Science Group), Math MCQs Class 9. if you are searching the topics like Math Notes Class 9, 9th class math notes, Math notes for class 9, math notes class 9 pdf, class 9 math notes pdf, math class 9 notes Punjab board, 9th class math solution pdf free download, key book of mathematics 9th class Punjab text book board, maths class 9 notes kpk board pdf, class 9 maths notes pdf, maths class 9 notes punjab board, key book of mathematics 9th class punjab text book pdf, 9th class math notes chapter 2, 9th class math solution chapter 2 pdf, math notes class 9 chapter 2, Math Notes Class 9 Exercise 2.2, exercise 2.2 class 9, exercise 2.2 class 9 then this post is specially for you and your future. All Boards of Intermediate & Secondary Educations in Punjab, Federal Board of Intermediate and Secondary Education, kpd board, Sindh board, Agha Khan Board and also Allama Iqbal Open University are taking examination according to Mathematics 9th Class. 9th Class Math key book pdf in English.


Notes of 9th Class Math:

related keywords are math notes class 9 pdf, math notes class 9 kpk board, math notes class 9 urdu medium, math notes class 9 chapter 1, fbise math notes class 9, general math notes class 9, adamjee math notes class 9, ncert math notes class 9, math notes class 9th, maths notes class 9, maths notes class 9 kerala syllabus, maths notes class 9 kpk, maths notes class 9 state syllabus, maths notes class 9 chapter 1, maths notes class 9 sindh board, maths notes class 9 pdf, maths ncert notes class 9. And people also searching for class 9 maths notes pdf, 9th class math notes chapter 2, mathematics class 9 pdf, 9th class math solution pdf free download, maths class 9 notes punjab board,

Math Notes Class 9 Exercise 2.1

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Math Notes Class 9 Exercise 2.1

“Math” a compulsory subject for 9th class Science students. and Math Notes Class 9 Exercise 2.1 English Medium (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you 9th class math notes Solution for your better preparation. 9th class Science Students can get more practice and  prepared through these important mathematics class 9 notes solutions. We are providing you these notes in the pdf files in which you can easily download and save. 9th class general math notes pdf is available for preparation here. Lets take a visit on English Medium also Urdu Medium version and enjoy your study also share with your friends for the easiness of other classmates and colleagues.

(DOWNLOAD IN PDF FORMAT)

Note: If you find any error, then just inform us in comments or email address admin@eStudent.pk


0%
4 votes, 4 avg
76

Revise / Test Your MCQs

Time is over

Thanks for taking Quiz, Click Finish Button to see your Result


Math Ch#2, 09th Class

Here MCQs for your Revision

For Good Revision & Grip on Concept, You Should take the MCQs and Revise it again and again

Good Luck. . . .  (:

Welcome

You Should Enter your Name

1 / 15

Name the property of real number used in \left ( -\frac{\sqrt{5}}{2} \right )\times 1 = -\frac{\sqrt{5}}{2}

2 / 15

A non-terminating, non-recurring decimal represents ____________

3 / 15

if x,y,z ∈ R, z<0, then x < y ⇒ __________

4 / 15

\left ( 27x^{-1} \right )^{\frac{-2}{3}} = _________ (Select Correct Option)

a) = \frac{\sqrt[3]{x^2}}{9}

b) = \frac{\sqrt[]{x^3}}{9}

c) = \frac{\sqrt[3]{x^2}}{8}

d) = \frac{\sqrt[]{x^3}}{8}

5 / 15

If we write \sqrt[7]{x} in exponential form _______ (Choose one option)

(a)  = x

(b) = x^{7}

(c) = x^{\frac{1}{7}}

(d) = x^{\frac{7}{2}}

6 / 15

Every Real number is _______

7 / 15

in \sqrt[3]{35} the Radicand is _________

8 / 15

The real part of 2ab(\iota +\iota ^2) is ________

9 / 15

if a, b ∈ R, then only one of a = b or a < b or a > b holds is called __________

10 / 15

the value of \iota ^9 is ________

11 / 15

Which of the following sets have the closure property w.r.t addition__________

12 / 15

if we write 4^{\frac{2}{3}} with radical sign then it is _________

(a) = \sqrt[3]{4^2}

(b) = \sqrt{4^3}

(c) = \sqrt[2]{4^3}

(d) = \sqrt{4^6}

(Choose Correct Option)

13 / 15

The conjugate of 5+4ι is ____________

14 / 15

\left ( \frac{25}{16} \right )^\frac{-1}{2} = ________

15 / 15

Imaginary part of -ι (3ι +2) is _______

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)


Exercise 1.2           (English)            (Urdu)


Exercise 1.3           (English)            (Urdu)


Exercise 1.4           (English)            (Urdu)


Exercise 1.5           (English)            (Urdu)


Exercise 1.6           (English)            (Urdu)


Exercise 1-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)


Exercise 2.2           (English)            (Urdu)


Exercise 2.3           (English)            (Urdu)


Exercise 2.4           (English)            (Urdu)


Exercise 2.5           (English)            (Urdu)


Exercise 2.6           (English)            (Urdu)


Exercise 2-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)


Exercise 3.2           (English)            (Urdu)


Exercise 3.3           (English)            (Urdu)


Exercise 3.4           (English)            (Urdu)


Exercise 3-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)


Exercise 4.2           (English)            (Urdu)


Exercise 4.3           (English)            (Urdu)


Exercise 4.4           (English)            (Urdu)


Exercise 4-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)


Exercise 5.2           (English)            (Urdu)


Exercise 5.3           (English)            (Urdu)


Exercise 5.4           (English)            (Urdu)


Exercise 5-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)


Exercise 6.2           (English)            (Urdu)


Exercise 6.3           (English)            (Urdu)


Exercise 6-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 7.1           (English)            (Urdu)


Exercise 7.2           (English)            (Urdu)


Exercise 7.3           (English)            (Urdu)


Exercise 7-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)


Exercise 8.2           (English)            (Urdu)


Exercise 8.3           (English)            (Urdu)


Exercise 8-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)


Exercise 9.2           (English)            (Urdu)


Exercise 9.3           (English)            (Urdu)


Exercise 9-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)


Exercise 10.2           (English)            (Urdu)


Exercise 10.3           (English)            (Urdu)


Exercise 10.4           (English)            (Urdu)


Exercise 10-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)


Exercise 11.2           (English)            (Urdu)


Exercise 11.3           (English)            (Urdu)


Exercise 11.4           (English)            (Urdu)


Exercise 11.5           (English)            (Urdu)


Exercise 11-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)


Exercise 12.2           (English)            (Urdu)


Exercise 12.3           (English)            (Urdu)


Exercise 12-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)


Exercise 13.2           (English)            (Urdu)


Exercise 13-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)


Exercise 14.2           (English)            (Urdu)


Exercise 14-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)


Exercise 15-Rev   (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)


Exercise 16.2           (English)            (Urdu)


Exercise 16-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)


Exercise 17.2           (English)            (Urdu)


Exercise 17.3           (English)            (Urdu)


Exercise 17.4           (English)            (Urdu)


Exercise 17.5           (English)            (Urdu)


Exercise 17-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions


9th Math Science Group (English Medium)


9th Math Science Group (Urdu Medium)


9th Math Arts Group (Urdu Medium)



Class 9th Math Notes pdf (Solution)

There are Seventeen chapters in Mathematics 9th Class for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. Anyone can download the PDF file of the notes. Note that, you can view these notes only if you have PDF reader software/ App on your device. However online view of the notes is also available on eStudent.pk . You can find all solution along with 9th Class Math Notes in Urdu (Science Group), Math MCQs Class 9. if you are searching the topics like Math Notes Class 9, 9th class math notes, Math notes for class 9, math notes class 9 pdf, class 9 math notes pdf, math class 9 notes Punjab board, 9th class math solution pdf free download, key book of mathematics 9th class Punjab text book board, maths class 9 notes kpk board pdf, class 9 maths notes pdf, maths class 9 notes punjab board, key book of mathematics 9th class punjab text book pdf, 9th class math notes chapter 2, 9th class math solution chapter 2 pdf, math notes class 9 chapter 2, Math Notes Class 9 Exercise 2.1, exercise 2.1 class 9, exercise 2.1 class 9 then this post is specially for you and your future. All Boards of Intermediate & Secondary Educations in Punjab, Federal Board of Intermediate and Secondary Education, kpd board, Sindh board, Agha Khan Board and also Allama Iqbal Open University are taking examination according to Mathematics 9th Class. 9th Class Math key book pdf in English.


Notes of 9th Class Math:

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Math Notes Class 9 Solution Exercise 1.2

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Math Notes Class 9 Solution Exercise 1.2

Math Notes Class 9 Solution Notes

“Math” a compulsory subject for 9th class Science students. and Math Notes Class 9 Solution Exercise 1.2 Urdu (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you 9th class  math notes Solution for your better preparation. 9th class Science Students can get more practice and  prepared through these important mathematics class 9 notes solutions. We are providing you these notes in the pdf files in which you can easily download and save. 9th class general math notes pdf is available for preparation here. Lets take a visit on Urdu Medium version and enjoy your study also share with your friends for the easiness of other classmates and colleagues.

(DOWNLOAD IN PDF FORMAT)

Note: If you find any error, then just inform us in comments or email address admin@eStudent.pk


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Math Ch#1, 09th Class

Here MCQs for your Revision

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Welcome

You Should Enter your Name

1 / 38

An Identity Matrix (Unity Matrix) is always a _____

2 / 38

The order of Matrix \begin{bmatrix} 2 & 1 \end{bmatrix} is _______

3 / 38

Order of Matrix \begin{bmatrix} 3\\ -1\\ 6 \end{bmatrix} is _______

4 / 38

A square Matrix A is said to be _____ matrix if |A|=0.

5 / 38

A square matrix in which non-diagonal elements are zero, whereas all diagonal elements are equal is called _______

 

6 / 38

\begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ____ Matrix

7 / 38

If for Matrix At = -A, then Matrix A is Called ______

8 / 38

A matrix obtained by interchanging Rows and Columns, is called _______ of matrix

9 / 38

Product of \begin{bmatrix} 2 & 0\\ 0 & 1 \end{bmatrix}\begin{bmatrix} -3 & 0\\ 0 & 4 \end{bmatrix} is ______ (Select correct option)

  1. \begin{bmatrix} -6 & 0\\ 0 & 4 \end{bmatrix}
  2. \begin{bmatrix} 6 & 0\\ 0 & 4 \end{bmatrix}
  3. \begin{bmatrix} 6 & 0\\ 0 & -4 \end{bmatrix}
  4. \begin{bmatrix} -6 & 0\\ 0 & -4 \end{bmatrix}

10 / 38

Two Materices A and B are confirmable for multiplication if ______

11 / 38

Inverse of a Matrix A is equal to ________

12 / 38

if X + \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix} = \begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} , then X is equal to ________

A = \begin{bmatrix} 2 & 2\\ 2 & 0 \end{bmatrix}

B = \begin{bmatrix} 0 & 2\\ 2 & 2 \end{bmatrix}

C = \begin{bmatrix} 2 & 0\\ 0 & 2 \end{bmatrix}

D = \begin{bmatrix} 2 & 2\\ 0 & 2 \end{bmatrix}

13 / 38

The Matrix \begin{bmatrix} 1 & 2 \end{bmatrix} is a ______ Matrix.

14 / 38

\begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix} is called _________

15 / 38

A Matrix is called _______ , if number of rows and columns are equal

16 / 38

If \begin{vmatrix} 3 & -1\\ 0 & x \end{vmatrix}  = 3, then x is equal to _______

17 / 38

In Matrix multiplication, in general, A.B ___ B.A

18 / 38

Adjoint of \begin{bmatrix} 2 & 1\\ -1 & -3 \end{bmatrix} is ________

  1. \begin{bmatrix} -3 & -1\\ 1 & 2 \end{bmatrix}
  2. \begin{bmatrix} 3 & -1\\ 1 & 2 \end{bmatrix}
  3. \begin{bmatrix} -3 & 1\\ 1 & -2 \end{bmatrix}
  4. \begin{bmatrix} 2 & 1\\ 1 & 3 \end{bmatrix}

19 / 38

If A is a Square Matrix and At =A, than A is called ________

20 / 38

Product of \begin{bmatrix} x & 4 \end{bmatrix}\begin{bmatrix} 2\\ -1 \end{bmatrix} is _____

21 / 38

Matrix \begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ______

22 / 38

If A=\begin{bmatrix} 4 & 5 \end{bmatrix} and B = [ 5 ], then the which product is possible ?

23 / 38

Two matrices are said to be confirmable for _______ if they have same order.

24 / 38

Matrix A + B can be found, if ________________

25 / 38

\begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} Matrix is called _________

26 / 38

Adjoint of \begin{bmatrix} 1 & 2\\ 0 & -1 \end{bmatrix} is ________

A = \begin{bmatrix} -1 & -2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & -1 \end{bmatrix}

D = \begin{bmatrix} -1 & 0\\ 2 & 1 \end{bmatrix}

27 / 38

A matrix is called a square matrix if its order is _____

28 / 38

If \begin{bmatrix} a+3 & 5\\ 6 & 4 \end{bmatrix} = \begin{bmatrix} 5 & 5\\ 6 & 4 \end{bmatrix} , then "a" is equal to ____

29 / 38

if \begin{vmatrix} 2 & 6\\ 3 & x \end{vmatrix} = 0 then x is equal to ________

30 / 38

Which is order of a square matrix?

31 / 38

The order of a matrix [ 1   2 ] is _____

32 / 38

Let A and B are two matrices of the same order and A+B=0, then A and B are said to be _____ of each other.

33 / 38

[ 5 ] is a matrix with order ______

34 / 38

Additive Inverse of \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix} is ______

A = \begin{bmatrix} 1 & 2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & 1 \end{bmatrix}

D = \begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix}

35 / 38

If A, B and C are three matrices such that AB=C, then ________ (Which is possible)

36 / 38

The Matrix of the same order _____ satisfy commutative law under addition.

37 / 38

(AB)ˉ¹ = ______

38 / 38

Order of transpose of \begin{bmatrix} 2 & 1\\ 0 & 1\\ 3 & 2 \end{bmatrix} is _______

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)


Exercise 1.2           (English)            (Urdu)


Exercise 1.3           (English)            (Urdu)


Exercise 1.4           (English)            (Urdu)


Exercise 1.5           (English)            (Urdu)


Exercise 1.6           (English)            (Urdu)


Exercise 1-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)


Exercise 2.2           (English)            (Urdu)


Exercise 2.3           (English)            (Urdu)


Exercise 2.4           (English)            (Urdu)


Exercise 2.5           (English)            (Urdu)


Exercise 2.6           (English)            (Urdu)


Exercise 2-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)


Exercise 3.2           (English)            (Urdu)


Exercise 3.3           (English)            (Urdu)


Exercise 3.4           (English)            (Urdu)


Exercise 3-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)


Exercise 4.2           (English)            (Urdu)


Exercise 4.3           (English)            (Urdu)


Exercise 4.4           (English)            (Urdu)


Exercise 4-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)


Exercise 5.2           (English)            (Urdu)


Exercise 5.3           (English)            (Urdu)


Exercise 5.4           (English)            (Urdu)


Exercise 5-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)


Exercise 6.2           (English)            (Urdu)


Exercise 6.3           (English)            (Urdu)


Exercise 6-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 7.1           (English)            (Urdu)


Exercise 7.2           (English)            (Urdu)


Exercise 7.3           (English)            (Urdu)


Exercise 7-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)


Exercise 8.2           (English)            (Urdu)


Exercise 8.3           (English)            (Urdu)


Exercise 8-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)


Exercise 9.2           (English)            (Urdu)


Exercise 9.3           (English)            (Urdu)


Exercise 9-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)


Exercise 10.2           (English)            (Urdu)


Exercise 10.3           (English)            (Urdu)


Exercise 10.4           (English)            (Urdu)


Exercise 10-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)


Exercise 11.2           (English)            (Urdu)


Exercise 11.3           (English)            (Urdu)


Exercise 11.4           (English)            (Urdu)


Exercise 11.5           (English)            (Urdu)


Exercise 11-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)


Exercise 12.2           (English)            (Urdu)


Exercise 12.3           (English)            (Urdu)


Exercise 12-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)


Exercise 13.2           (English)            (Urdu)


Exercise 13-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)


Exercise 14.2           (English)            (Urdu)


Exercise 14-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)


Exercise 15-Rev   (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)


Exercise 16.2           (English)            (Urdu)


Exercise 16-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)


Exercise 17.2           (English)            (Urdu)


Exercise 17.3           (English)            (Urdu)


Exercise 17.4           (English)            (Urdu)


Exercise 17.5           (English)            (Urdu)


Exercise 17-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions


9th Math Science Group (English Medium)


9th Math Science Group (Urdu Medium)


9th Math Arts Group (Urdu Medium)



Class 9th Math Notes pdf (Solution)

There are Seventeen chapters in Mathematics 9th Class for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. Anyone can download the PDF file of the notes. Note that, you can view these notes only if you have PDF reader software/ App on your device. However online view of the notes is also available on eStudent.pk . You can find all solution along with 9th Class Math Notes in Urdu (Science Group), Math MCQs Class 9.

Math Notes 9th Class Urdu Medium:

if you are searching the topics like Math Notes Class 9, 9th class math notes, Math notes for class 9, math notes class 9 pdf, class 9 math notes pdf, math class 9 notes Punjab board, 9th class math solution pdf free download, key book of mathematics 9th class Punjab text book board, maths class 9 notes kpk board pdf, class 9 maths notes pdf, maths class 9 notes punjab board, key book of mathematics 9th class punjab text book pdf, math notes class 9 urdu medium, math notes class 9 kpk board, math notes class 9 adamjee notes, maths class 9 notes, 9th class math notes chapter 1, 9th class math solution chapter 1 pdf, math notes class 9 chapter 1, Math Notes Class 9 Solution Exercise 1.2, exercise 1.2 class 9, then this post is specially for you and your future. All Boards of Intermediate & Secondary Educations in Punjab, Federal Board of Intermediate and Secondary Education, kpd board, Sindh board, Agha Khan Board and also Allama Iqbal Open University are taking examination according to Mathematics 9th Class. 9th Class Math key book pdf in urdu.


 

Math Notes Class 9 Solution Exercise 1.1

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Math Notes Class 9 Solution Exercise 1.1

Math Notes Class 9 Solution Notes

“Math” a compulsory subject for 9th class Science students. and Math Notes Class 9 Solution Exercise 1.1 Urdu (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you 9th class  math notes Solution for your better preparation. 9th class Science Students can get more practice and  prepared through these important mathematics class 9 notes solutions. We are providing you these notes in the pdf files in which you can easily download and save. 9th class general math notes pdf is available for preparation here. Lets take a visit on Urdu Medium version and enjoy your study also share with your friends for the easiness of other classmates and colleagues.

(DOWNLOAD IN PDF FORMAT)

Note: If you find any error, then just inform us in comments or email address admin@eStudent.pk


0%
2 votes, 2 avg
120

Revise / Test Your MCQs

Time is over

Thanks for taking Quiz, Click Finish Button to see your Result


Math Ch#1, 09th Class

Here MCQs for your Revision

For Good Revision & Grip on Concept, You Should take the MCQs and Revise it again and again

Good Luck. . . .  (:

Welcome

You Should Enter your Name

1 / 38

A matrix obtained by interchanging Rows and Columns, is called _______ of matrix

2 / 38

\begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ____ Matrix

3 / 38

A square matrix in which non-diagonal elements are zero, whereas all diagonal elements are equal is called _______

 

4 / 38

Two matrices are said to be confirmable for _______ if they have same order.

5 / 38

If A, B and C are three matrices such that AB=C, then ________ (Which is possible)

6 / 38

[ 5 ] is a matrix with order ______

7 / 38

The Matrix \begin{bmatrix} 1 & 2 \end{bmatrix} is a ______ Matrix.

8 / 38

Adjoint of \begin{bmatrix} 1 & 2\\ 0 & -1 \end{bmatrix} is ________

A = \begin{bmatrix} -1 & -2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & -1 \end{bmatrix}

D = \begin{bmatrix} -1 & 0\\ 2 & 1 \end{bmatrix}

9 / 38

The Matrix of the same order _____ satisfy commutative law under addition.

10 / 38

In Matrix multiplication, in general, A.B ___ B.A

11 / 38

Let A and B are two matrices of the same order and A+B=0, then A and B are said to be _____ of each other.

12 / 38

if \begin{vmatrix} 2 & 6\\ 3 & x \end{vmatrix} = 0 then x is equal to ________

13 / 38

The order of a matrix [ 1   2 ] is _____

14 / 38

A matrix is called a square matrix if its order is _____

15 / 38

If \begin{bmatrix} a+3 & 5\\ 6 & 4 \end{bmatrix} = \begin{bmatrix} 5 & 5\\ 6 & 4 \end{bmatrix} , then "a" is equal to ____

16 / 38

Which is order of a square matrix?

17 / 38

An Identity Matrix (Unity Matrix) is always a _____

18 / 38

A Matrix is called _______ , if number of rows and columns are equal

19 / 38

Product of \begin{bmatrix} 2 & 0\\ 0 & 1 \end{bmatrix}\begin{bmatrix} -3 & 0\\ 0 & 4 \end{bmatrix} is ______ (Select correct option)

  1. \begin{bmatrix} -6 & 0\\ 0 & 4 \end{bmatrix}
  2. \begin{bmatrix} 6 & 0\\ 0 & 4 \end{bmatrix}
  3. \begin{bmatrix} 6 & 0\\ 0 & -4 \end{bmatrix}
  4. \begin{bmatrix} -6 & 0\\ 0 & -4 \end{bmatrix}

20 / 38

If for Matrix At = -A, then Matrix A is Called ______

21 / 38

Order of Matrix \begin{bmatrix} 3\\ -1\\ 6 \end{bmatrix} is _______

22 / 38

Two Materices A and B are confirmable for multiplication if ______

23 / 38

Matrix \begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ______

24 / 38

(AB)ˉ¹ = ______

25 / 38

If \begin{vmatrix} 3 & -1\\ 0 & x \end{vmatrix}  = 3, then x is equal to _______

26 / 38

Matrix A + B can be found, if ________________

27 / 38

\begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} Matrix is called _________

28 / 38

Adjoint of \begin{bmatrix} 2 & 1\\ -1 & -3 \end{bmatrix} is ________

  1. \begin{bmatrix} -3 & -1\\ 1 & 2 \end{bmatrix}
  2. \begin{bmatrix} 3 & -1\\ 1 & 2 \end{bmatrix}
  3. \begin{bmatrix} -3 & 1\\ 1 & -2 \end{bmatrix}
  4. \begin{bmatrix} 2 & 1\\ 1 & 3 \end{bmatrix}

29 / 38

A square Matrix A is said to be _____ matrix if |A|=0.

30 / 38

\begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix} is called _________

31 / 38

Order of transpose of \begin{bmatrix} 2 & 1\\ 0 & 1\\ 3 & 2 \end{bmatrix} is _______

32 / 38

If A is a Square Matrix and At =A, than A is called ________

33 / 38

Inverse of a Matrix A is equal to ________

34 / 38

Product of \begin{bmatrix} x & 4 \end{bmatrix}\begin{bmatrix} 2\\ -1 \end{bmatrix} is _____

35 / 38

The order of Matrix \begin{bmatrix} 2 & 1 \end{bmatrix} is _______

36 / 38

If A=\begin{bmatrix} 4 & 5 \end{bmatrix} and B = [ 5 ], then the which product is possible ?

37 / 38

Additive Inverse of \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix} is ______

A = \begin{bmatrix} 1 & 2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & 1 \end{bmatrix}

D = \begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix}

38 / 38

if X + \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix} = \begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} , then X is equal to ________

A = \begin{bmatrix} 2 & 2\\ 2 & 0 \end{bmatrix}

B = \begin{bmatrix} 0 & 2\\ 2 & 2 \end{bmatrix}

C = \begin{bmatrix} 2 & 0\\ 0 & 2 \end{bmatrix}

D = \begin{bmatrix} 2 & 2\\ 0 & 2 \end{bmatrix}

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)


Exercise 1.2           (English)            (Urdu)


Exercise 1.3           (English)            (Urdu)


Exercise 1.4           (English)            (Urdu)


Exercise 1.5           (English)            (Urdu)


Exercise 1.6           (English)            (Urdu)


Exercise 1-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)


Exercise 2.2           (English)            (Urdu)


Exercise 2.3           (English)            (Urdu)


Exercise 2.4           (English)            (Urdu)


Exercise 2.5           (English)            (Urdu)


Exercise 2.6           (English)            (Urdu)


Exercise 2-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)


Exercise 3.2           (English)            (Urdu)


Exercise 3.3           (English)            (Urdu)


Exercise 3.4           (English)            (Urdu)


Exercise 3-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)


Exercise 4.2           (English)            (Urdu)


Exercise 4.3           (English)            (Urdu)


Exercise 4.4           (English)            (Urdu)


Exercise 4-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)


Exercise 5.2           (English)            (Urdu)


Exercise 5.3           (English)            (Urdu)


Exercise 5.4           (English)            (Urdu)


Exercise 5-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)


Exercise 6.2           (English)            (Urdu)


Exercise 6.3           (English)            (Urdu)


Exercise 6-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 7.1           (English)            (Urdu)


Exercise 7.2           (English)            (Urdu)


Exercise 7.3           (English)            (Urdu)


Exercise 7-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)


Exercise 8.2           (English)            (Urdu)


Exercise 8.3           (English)            (Urdu)


Exercise 8-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)


Exercise 9.2           (English)            (Urdu)


Exercise 9.3           (English)            (Urdu)


Exercise 9-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)


Exercise 10.2           (English)            (Urdu)


Exercise 10.3           (English)            (Urdu)


Exercise 10.4           (English)            (Urdu)


Exercise 10-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)


Exercise 11.2           (English)            (Urdu)


Exercise 11.3           (English)            (Urdu)


Exercise 11.4           (English)            (Urdu)


Exercise 11.5           (English)            (Urdu)


Exercise 11-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)


Exercise 12.2           (English)            (Urdu)


Exercise 12.3           (English)            (Urdu)


Exercise 12-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)


Exercise 13.2           (English)            (Urdu)


Exercise 13-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)


Exercise 14.2           (English)            (Urdu)


Exercise 14-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)


Exercise 15-Rev   (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)


Exercise 16.2           (English)            (Urdu)


Exercise 16-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)


Exercise 17.2           (English)            (Urdu)


Exercise 17.3           (English)            (Urdu)


Exercise 17.4           (English)            (Urdu)


Exercise 17.5           (English)            (Urdu)


Exercise 17-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions


9th Math Science Group (English Medium)


9th Math Science Group (Urdu Medium)


9th Math Arts Group (Urdu Medium)



Class 9th Math Notes pdf (Solution)

There are Seventeen chapters in Mathematics 9th Class for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. Anyone can download the PDF file of the notes. Note that, you can view these notes only if you have PDF reader software/ App on your device. However online view of the notes is also available on eStudent.pk . You can find all solution along with 9th Class Math Notes in Urdu (Science Group), Math MCQs Class 9.

Math Notes 9th Class Urdu Medium:

if you are searching the topics like Math Notes Class 9, 9th class math notes, Math notes for class 9, math notes class 9 pdf, class 9 math notes pdf, math class 9 notes Punjab board, 9th class math solution pdf free download, key book of mathematics 9th class Punjab text book board, maths class 9 notes kpk board pdf, class 9 maths notes pdf, maths class 9 notes punjab board, key book of mathematics 9th class punjab text book pdf, math notes class 9 urdu medium, math notes class 9 kpk board, math notes class 9 adamjee notes, maths class 9 notes, 9th class math notes chapter 1, 9th class math solution chapter 1 pdf, math notes class 9 chapter 1, Math Notes Class 9 Solution Exercise 1.1, exercise 1.1 class 9, then this post is specially for you and your future. All Boards of Intermediate & Secondary Educations in Punjab, Federal Board of Intermediate and Secondary Education, kpd board, Sindh board, Agha Khan Board and also Allama Iqbal Open University are taking examination according to Mathematics 9th Class. 9th Class Math key book pdf in urdu.


 

Math Notes Class 9 Exercise 1-Rev

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Math Notes Class 9 Exercise 1-Rev

“Math” a compulsory subject for 9th class Science students. and Math Notes Class 9 Exercise 1-Rev English Medium (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you 9th class math notes Solution for your better preparation. 9th class Science Students can get more practice and  prepared through these important mathematics class 9 notes solutions. We are providing you these notes in the pdf files in which you can easily download and save. 9th class general math notes pdf is available for preparation here. Lets take a visit on English Medium also Urdu Medium version and enjoy your study also share with your friends for the easiness of other classmates and colleagues.

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Math Ch#1, 09th Class

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1 / 38

\begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ____ Matrix

2 / 38

If \begin{bmatrix} a+3 & 5\\ 6 & 4 \end{bmatrix} = \begin{bmatrix} 5 & 5\\ 6 & 4 \end{bmatrix} , then "a" is equal to ____

3 / 38

If \begin{vmatrix} 3 & -1\\ 0 & x \end{vmatrix}  = 3, then x is equal to _______

4 / 38

A matrix obtained by interchanging Rows and Columns, is called _______ of matrix

5 / 38

Order of Matrix \begin{bmatrix} 3\\ -1\\ 6 \end{bmatrix} is _______

6 / 38

Matrix A + B can be found, if ________________

7 / 38

A square matrix in which non-diagonal elements are zero, whereas all diagonal elements are equal is called _______

 

8 / 38

[ 5 ] is a matrix with order ______

9 / 38

Adjoint of \begin{bmatrix} 1 & 2\\ 0 & -1 \end{bmatrix} is ________

A = \begin{bmatrix} -1 & -2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & -1 \end{bmatrix}

D = \begin{bmatrix} -1 & 0\\ 2 & 1 \end{bmatrix}

10 / 38

(AB)ˉ¹ = ______

11 / 38

Inverse of a Matrix A is equal to ________

12 / 38

Matrix \begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ______

13 / 38

In Matrix multiplication, in general, A.B ___ B.A

14 / 38

If for Matrix At = -A, then Matrix A is Called ______

15 / 38

An Identity Matrix (Unity Matrix) is always a _____

16 / 38

Product of \begin{bmatrix} 2 & 0\\ 0 & 1 \end{bmatrix}\begin{bmatrix} -3 & 0\\ 0 & 4 \end{bmatrix} is ______ (Select correct option)

  1. \begin{bmatrix} -6 & 0\\ 0 & 4 \end{bmatrix}
  2. \begin{bmatrix} 6 & 0\\ 0 & 4 \end{bmatrix}
  3. \begin{bmatrix} 6 & 0\\ 0 & -4 \end{bmatrix}
  4. \begin{bmatrix} -6 & 0\\ 0 & -4 \end{bmatrix}

17 / 38

Product of \begin{bmatrix} x & 4 \end{bmatrix}\begin{bmatrix} 2\\ -1 \end{bmatrix} is _____

18 / 38

\begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix} is called _________

19 / 38

A square Matrix A is said to be _____ matrix if |A|=0.

20 / 38

The Matrix of the same order _____ satisfy commutative law under addition.

21 / 38

if X + \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix} = \begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} , then X is equal to ________

A = \begin{bmatrix} 2 & 2\\ 2 & 0 \end{bmatrix}

B = \begin{bmatrix} 0 & 2\\ 2 & 2 \end{bmatrix}

C = \begin{bmatrix} 2 & 0\\ 0 & 2 \end{bmatrix}

D = \begin{bmatrix} 2 & 2\\ 0 & 2 \end{bmatrix}

22 / 38

A matrix is called a square matrix if its order is _____

23 / 38

Two Materices A and B are confirmable for multiplication if ______

24 / 38

Two matrices are said to be confirmable for _______ if they have same order.

25 / 38

A Matrix is called _______ , if number of rows and columns are equal

26 / 38

\begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} Matrix is called _________

27 / 38

The Matrix \begin{bmatrix} 1 & 2 \end{bmatrix} is a ______ Matrix.

28 / 38

The order of Matrix \begin{bmatrix} 2 & 1 \end{bmatrix} is _______

29 / 38

if \begin{vmatrix} 2 & 6\\ 3 & x \end{vmatrix} = 0 then x is equal to ________

30 / 38

Adjoint of \begin{bmatrix} 2 & 1\\ -1 & -3 \end{bmatrix} is ________

  1. \begin{bmatrix} -3 & -1\\ 1 & 2 \end{bmatrix}
  2. \begin{bmatrix} 3 & -1\\ 1 & 2 \end{bmatrix}
  3. \begin{bmatrix} -3 & 1\\ 1 & -2 \end{bmatrix}
  4. \begin{bmatrix} 2 & 1\\ 1 & 3 \end{bmatrix}

31 / 38

If A is a Square Matrix and At =A, than A is called ________

32 / 38

If A, B and C are three matrices such that AB=C, then ________ (Which is possible)

33 / 38

Let A and B are two matrices of the same order and A+B=0, then A and B are said to be _____ of each other.

34 / 38

Additive Inverse of \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix} is ______

A = \begin{bmatrix} 1 & 2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & 1 \end{bmatrix}

D = \begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix}

35 / 38

If A=\begin{bmatrix} 4 & 5 \end{bmatrix} and B = [ 5 ], then the which product is possible ?

36 / 38

Which is order of a square matrix?

37 / 38

Order of transpose of \begin{bmatrix} 2 & 1\\ 0 & 1\\ 3 & 2 \end{bmatrix} is _______

38 / 38

The order of a matrix [ 1   2 ] is _____

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)


Exercise 1.2           (English)            (Urdu)


Exercise 1.3           (English)            (Urdu)


Exercise 1.4           (English)            (Urdu)


Exercise 1.5           (English)            (Urdu)


Exercise 1.6           (English)            (Urdu)


Exercise 1-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)


Exercise 2.2           (English)            (Urdu)


Exercise 2.3           (English)            (Urdu)


Exercise 2.4           (English)            (Urdu)


Exercise 2.5           (English)            (Urdu)


Exercise 2.6           (English)            (Urdu)


Exercise 2-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)


Exercise 3.2           (English)            (Urdu)


Exercise 3.3           (English)            (Urdu)


Exercise 3.4           (English)            (Urdu)


Exercise 3-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)


Exercise 4.2           (English)            (Urdu)


Exercise 4.3           (English)            (Urdu)


Exercise 4.4           (English)            (Urdu)


Exercise 4-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)


Exercise 5.2           (English)            (Urdu)


Exercise 5.3           (English)            (Urdu)


Exercise 5.4           (English)            (Urdu)


Exercise 5-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)


Exercise 6.2           (English)            (Urdu)


Exercise 6.3           (English)            (Urdu)


Exercise 6-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 7.1           (English)            (Urdu)


Exercise 7.2           (English)            (Urdu)


Exercise 7.3           (English)            (Urdu)


Exercise 7-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)


Exercise 8.2           (English)            (Urdu)


Exercise 8.3           (English)            (Urdu)


Exercise 8-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)


Exercise 9.2           (English)            (Urdu)


Exercise 9.3           (English)            (Urdu)


Exercise 9-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)


Exercise 10.2           (English)            (Urdu)


Exercise 10.3           (English)            (Urdu)


Exercise 10.4           (English)            (Urdu)


Exercise 10-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)


Exercise 11.2           (English)            (Urdu)


Exercise 11.3           (English)            (Urdu)


Exercise 11.4           (English)            (Urdu)


Exercise 11.5           (English)            (Urdu)


Exercise 11-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)


Exercise 12.2           (English)            (Urdu)


Exercise 12.3           (English)            (Urdu)


Exercise 12-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)


Exercise 13.2           (English)            (Urdu)


Exercise 13-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)


Exercise 14.2           (English)            (Urdu)


Exercise 14-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)


Exercise 15-Rev   (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)


Exercise 16.2           (English)            (Urdu)


Exercise 16-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)


Exercise 17.2           (English)            (Urdu)


Exercise 17.3           (English)            (Urdu)


Exercise 17.4           (English)            (Urdu)


Exercise 17.5           (English)            (Urdu)


Exercise 17-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions


9th Math Science Group (English Medium)


9th Math Science Group (Urdu Medium)


9th Math Arts Group (Urdu Medium)



Class 9th Math Notes pdf (Solution)

There are Seventeen chapters in Mathematics 9th Class for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. Anyone can download the PDF file of the notes. Note that, you can view these notes only if you have PDF reader software/ App on your device. However online view of the notes is also available on eStudent.pk . You can find all solution along with 9th Class Math Notes in Urdu (Science Group), Math MCQs Class 9. if you are searching the topics like Math Notes Class 9, 9th class math notes, Math notes for class 9, math notes class 9 pdf, class 9 math notes pdf, math class 9 notes Punjab board, 9th class math solution pdf free download, key book of mathematics 9th class Punjab text book board, maths class 9 notes kpk board pdf, class 9 maths notes pdf, maths class 9 notes punjab board, key book of mathematics 9th class punjab text book pdf, math notes class 9 English medium, math notes class 9 kpk board, math notes class 9 adamjee notes, maths class 9 notes, 9th class math notes chapter 1, 9th class math solution chapter 1 pdf, math notes class 9 chapter 1, Math Notes Class 9 Exercise 1-Rev, exercise 1-Rev class 9, exercise 1-Rev class 9 then this post is specially for you and your future. All Boards of Intermediate & Secondary Educations in Punjab, Federal Board of Intermediate and Secondary Education, kpd board, Sindh board, Agha Khan Board and also Allama Iqbal Open University are taking examination according to Mathematics 9th Class. 9th Class Math key book pdf in English.


Notes of 9th Class Math:

related keywords are math notes class 9 pdf, math notes class 9 kpk board, math notes class 9 urdu medium, math notes class 9 chapter 1, fbise math notes class 9, general math notes class 9, adamjee math notes class 9, ncert math notes class 9, math notes class 9th, maths notes class 9, maths notes class 9 kerala syllabus, maths notes class 9 kpk, maths notes class 9 state syllabus, maths notes class 9 chapter 1, maths notes class 9 sindh board, maths notes class 9 pdf, maths ncert notes class 9

Math Notes Class 9 Exercise 1.6

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Math Notes Class 9 Exercise 1.6

“Math” a compulsory subject for 9th class Science students. and Math Notes Class 9 Exercise 1.6 English Medium (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you 9th class math notes Solution for your better preparation. 9th class Science Students can get more practice and  prepared through these important mathematics class 9 notes solutions. We are providing you these notes in the pdf files in which you can easily download and save. 9th class general math notes pdf is available for preparation here. Lets take a visit on English Medium also Urdu Medium version and enjoy your study also share with your friends for the easiness of other classmates and colleagues.

(DOWNLOAD IN PDF FORMAT)

Note: If you find any error, then just inform us in comments or email address admin@eStudent.pk


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Revise / Test Your MCQs

Time is over

Thanks for taking Quiz, Click Finish Button to see your Result


Math Ch#1, 09th Class

Here MCQs for your Revision

For Good Revision & Grip on Concept, You Should take the MCQs and Revise it again and again

Good Luck. . . .  (:

Welcome

You Should Enter your Name

1 / 38

If A is a Square Matrix and At =A, than A is called ________

2 / 38

A square Matrix A is said to be _____ matrix if |A|=0.

3 / 38

Which is order of a square matrix?

4 / 38

If for Matrix At = -A, then Matrix A is Called ______

5 / 38

(AB)ˉ¹ = ______

6 / 38

Adjoint of \begin{bmatrix} 2 & 1\\ -1 & -3 \end{bmatrix} is ________

  1. \begin{bmatrix} -3 & -1\\ 1 & 2 \end{bmatrix}
  2. \begin{bmatrix} 3 & -1\\ 1 & 2 \end{bmatrix}
  3. \begin{bmatrix} -3 & 1\\ 1 & -2 \end{bmatrix}
  4. \begin{bmatrix} 2 & 1\\ 1 & 3 \end{bmatrix}

7 / 38

A square matrix in which non-diagonal elements are zero, whereas all diagonal elements are equal is called _______

 

8 / 38

if X + \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix} = \begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} , then X is equal to ________

A = \begin{bmatrix} 2 & 2\\ 2 & 0 \end{bmatrix}

B = \begin{bmatrix} 0 & 2\\ 2 & 2 \end{bmatrix}

C = \begin{bmatrix} 2 & 0\\ 0 & 2 \end{bmatrix}

D = \begin{bmatrix} 2 & 2\\ 0 & 2 \end{bmatrix}

9 / 38

Two matrices are said to be confirmable for _______ if they have same order.

10 / 38

Two Materices A and B are confirmable for multiplication if ______

11 / 38

\begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} Matrix is called _________

12 / 38

\begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix} is called _________

13 / 38

Adjoint of \begin{bmatrix} 1 & 2\\ 0 & -1 \end{bmatrix} is ________

A = \begin{bmatrix} -1 & -2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & -1 \end{bmatrix}

D = \begin{bmatrix} -1 & 0\\ 2 & 1 \end{bmatrix}

14 / 38

if \begin{vmatrix} 2 & 6\\ 3 & x \end{vmatrix} = 0 then x is equal to ________

15 / 38

Additive Inverse of \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix} is ______

A = \begin{bmatrix} 1 & 2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & 1 \end{bmatrix}

D = \begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix}

16 / 38

\begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ____ Matrix

17 / 38

The order of Matrix \begin{bmatrix} 2 & 1 \end{bmatrix} is _______

18 / 38

If \begin{vmatrix} 3 & -1\\ 0 & x \end{vmatrix}  = 3, then x is equal to _______

19 / 38

[ 5 ] is a matrix with order ______

20 / 38

The order of a matrix [ 1   2 ] is _____

21 / 38

The Matrix of the same order _____ satisfy commutative law under addition.

22 / 38

If \begin{bmatrix} a+3 & 5\\ 6 & 4 \end{bmatrix} = \begin{bmatrix} 5 & 5\\ 6 & 4 \end{bmatrix} , then "a" is equal to ____

23 / 38

A matrix is called a square matrix if its order is _____

24 / 38

Inverse of a Matrix A is equal to ________

25 / 38

If A, B and C are three matrices such that AB=C, then ________ (Which is possible)

26 / 38

Matrix A + B can be found, if ________________

27 / 38

The Matrix \begin{bmatrix} 1 & 2 \end{bmatrix} is a ______ Matrix.

28 / 38

Product of \begin{bmatrix} x & 4 \end{bmatrix}\begin{bmatrix} 2\\ -1 \end{bmatrix} is _____

29 / 38

A Matrix is called _______ , if number of rows and columns are equal

30 / 38

Order of transpose of \begin{bmatrix} 2 & 1\\ 0 & 1\\ 3 & 2 \end{bmatrix} is _______

31 / 38

In Matrix multiplication, in general, A.B ___ B.A

32 / 38

An Identity Matrix (Unity Matrix) is always a _____

33 / 38

Matrix \begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ______

34 / 38

A matrix obtained by interchanging Rows and Columns, is called _______ of matrix

35 / 38

Order of Matrix \begin{bmatrix} 3\\ -1\\ 6 \end{bmatrix} is _______

36 / 38

If A=\begin{bmatrix} 4 & 5 \end{bmatrix} and B = [ 5 ], then the which product is possible ?

37 / 38

Product of \begin{bmatrix} 2 & 0\\ 0 & 1 \end{bmatrix}\begin{bmatrix} -3 & 0\\ 0 & 4 \end{bmatrix} is ______ (Select correct option)

  1. \begin{bmatrix} -6 & 0\\ 0 & 4 \end{bmatrix}
  2. \begin{bmatrix} 6 & 0\\ 0 & 4 \end{bmatrix}
  3. \begin{bmatrix} 6 & 0\\ 0 & -4 \end{bmatrix}
  4. \begin{bmatrix} -6 & 0\\ 0 & -4 \end{bmatrix}

38 / 38

Let A and B are two matrices of the same order and A+B=0, then A and B are said to be _____ of each other.

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)


Exercise 1.2           (English)            (Urdu)


Exercise 1.3           (English)            (Urdu)


Exercise 1.4           (English)            (Urdu)


Exercise 1.5           (English)            (Urdu)


Exercise 1.6           (English)            (Urdu)


Exercise 1-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)


Exercise 2.2           (English)            (Urdu)


Exercise 2.3           (English)            (Urdu)


Exercise 2.4           (English)            (Urdu)


Exercise 2.5           (English)            (Urdu)


Exercise 2.6           (English)            (Urdu)


Exercise 2-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)


Exercise 3.2           (English)            (Urdu)


Exercise 3.3           (English)            (Urdu)


Exercise 3.4           (English)            (Urdu)


Exercise 3-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)


Exercise 4.2           (English)            (Urdu)


Exercise 4.3           (English)            (Urdu)


Exercise 4.4           (English)            (Urdu)


Exercise 4-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)


Exercise 5.2           (English)            (Urdu)


Exercise 5.3           (English)            (Urdu)


Exercise 5.4           (English)            (Urdu)


Exercise 5-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)


Exercise 6.2           (English)            (Urdu)


Exercise 6.3           (English)            (Urdu)


Exercise 6-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 7.1           (English)            (Urdu)


Exercise 7.2           (English)            (Urdu)


Exercise 7.3           (English)            (Urdu)


Exercise 7-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)


Exercise 8.2           (English)            (Urdu)


Exercise 8.3           (English)            (Urdu)


Exercise 8-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)


Exercise 9.2           (English)            (Urdu)


Exercise 9.3           (English)            (Urdu)


Exercise 9-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)


Exercise 10.2           (English)            (Urdu)


Exercise 10.3           (English)            (Urdu)


Exercise 10.4           (English)            (Urdu)


Exercise 10-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)


Exercise 11.2           (English)            (Urdu)


Exercise 11.3           (English)            (Urdu)


Exercise 11.4           (English)            (Urdu)


Exercise 11.5           (English)            (Urdu)


Exercise 11-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)


Exercise 12.2           (English)            (Urdu)


Exercise 12.3           (English)            (Urdu)


Exercise 12-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)


Exercise 13.2           (English)            (Urdu)


Exercise 13-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)


Exercise 14.2           (English)            (Urdu)


Exercise 14-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)


Exercise 15-Rev   (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)


Exercise 16.2           (English)            (Urdu)


Exercise 16-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)


Exercise 17.2           (English)            (Urdu)


Exercise 17.3           (English)            (Urdu)


Exercise 17.4           (English)            (Urdu)


Exercise 17.5           (English)            (Urdu)


Exercise 17-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions


9th Math Science Group (English Medium)


9th Math Science Group (Urdu Medium)


9th Math Arts Group (Urdu Medium)



Class 9th Math Notes pdf (Solution)

There are Seventeen chapters in Mathematics 9th Class for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. Anyone can download the PDF file of the notes. Note that, you can view these notes only if you have PDF reader software/ App on your device. However online view of the notes is also available on eStudent.pk . You can find all solution along with 9th Class Math Notes in Urdu (Science Group), Math MCQs Class 9. if you are searching the topics like Math Notes Class 9, 9th class math notes, Math notes for class 9, math notes class 9 pdf, class 9 math notes pdf, math class 9 notes Punjab board, 9th class math solution pdf free download, key book of mathematics 9th class Punjab text book board, maths class 9 notes kpk board pdf, class 9 maths notes pdf, maths class 9 notes punjab board, key book of mathematics 9th class punjab text book pdf, math notes class 9 English medium, math notes class 9 kpk board, math notes class 9 adamjee notes, maths class 9 notes, 9th class math notes chapter 1, 9th class math solution chapter 1 pdf, math notes class 9 chapter 1, Math Notes Class 9 Exercise 1.6, exercise 1.6 class 9, exercise 1.6 class 9 then this post is specially for you and your future. All Boards of Intermediate & Secondary Educations in Punjab, Federal Board of Intermediate and Secondary Education, kpd board, Sindh board, Agha Khan Board and also Allama Iqbal Open University are taking examination according to Mathematics 9th Class. 9th Class Math key book pdf in English.


Notes of 9th Class Math:

related keywords are math notes class 9 pdf, math notes class 9 kpk board, math notes class 9 urdu medium, math notes class 9 chapter 1, fbise math notes class 9, general math notes class 9, adamjee math notes class 9, ncert math notes class 9, math notes class 9th, maths notes class 9, maths notes class 9 kerala syllabus, maths notes class 9 kpk, maths notes class 9 state syllabus, maths notes class 9 chapter 1, maths notes class 9 sindh board, maths notes class 9 pdf, maths ncert notes class 9

Math Notes Class 9 Exercise 1.5

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Math Notes Class 9 Exercise 1.5

“Math” a compulsory subject for 9th class Science students. and Math Notes Class 9 Exercise 1.5 English Medium (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you 9th class math notes Solution for your better preparation. 9th class Science Students can get more practice and  prepared through these important mathematics class 9 notes solutions. We are providing you these notes in the pdf files in which you can easily download and save. 9th class general math notes pdf is available for preparation here. Lets take a visit on English Medium also Urdu Medium version and enjoy your study also share with your friends for the easiness of other classmates and colleagues.

(DOWNLOAD IN PDF FORMAT)

Note: If you find any error, then just inform us in comments or email address admin@eStudent.pk


0%
2 votes, 2 avg
120

Revise / Test Your MCQs

Time is over

Thanks for taking Quiz, Click Finish Button to see your Result


Math Ch#1, 09th Class

Here MCQs for your Revision

For Good Revision & Grip on Concept, You Should take the MCQs and Revise it again and again

Good Luck. . . .  (:

Welcome

You Should Enter your Name

1 / 38

\begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} Matrix is called _________

2 / 38

Order of Matrix \begin{bmatrix} 3\\ -1\\ 6 \end{bmatrix} is _______

3 / 38

Matrix A + B can be found, if ________________

4 / 38

if \begin{vmatrix} 2 & 6\\ 3 & x \end{vmatrix} = 0 then x is equal to ________

5 / 38

Matrix \begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ______

6 / 38

Let A and B are two matrices of the same order and A+B=0, then A and B are said to be _____ of each other.

7 / 38

A matrix obtained by interchanging Rows and Columns, is called _______ of matrix

8 / 38

If A is a Square Matrix and At =A, than A is called ________

9 / 38

The order of Matrix \begin{bmatrix} 2 & 1 \end{bmatrix} is _______

10 / 38

If A=\begin{bmatrix} 4 & 5 \end{bmatrix} and B = [ 5 ], then the which product is possible ?

11 / 38

Inverse of a Matrix A is equal to ________

12 / 38

A square Matrix A is said to be _____ matrix if |A|=0.

13 / 38

Two matrices are said to be confirmable for _______ if they have same order.

14 / 38

\begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix} is called _________

15 / 38

In Matrix multiplication, in general, A.B ___ B.A

16 / 38

[ 5 ] is a matrix with order ______

17 / 38

A Matrix is called _______ , if number of rows and columns are equal

18 / 38

If \begin{vmatrix} 3 & -1\\ 0 & x \end{vmatrix}  = 3, then x is equal to _______

19 / 38

Additive Inverse of \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix} is ______

A = \begin{bmatrix} 1 & 2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & 1 \end{bmatrix}

D = \begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix}

20 / 38

A square matrix in which non-diagonal elements are zero, whereas all diagonal elements are equal is called _______

 

21 / 38

If A, B and C are three matrices such that AB=C, then ________ (Which is possible)

22 / 38

The Matrix of the same order _____ satisfy commutative law under addition.

23 / 38

An Identity Matrix (Unity Matrix) is always a _____

24 / 38

Adjoint of \begin{bmatrix} 1 & 2\\ 0 & -1 \end{bmatrix} is ________

A = \begin{bmatrix} -1 & -2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & -1 \end{bmatrix}

D = \begin{bmatrix} -1 & 0\\ 2 & 1 \end{bmatrix}

25 / 38

Adjoint of \begin{bmatrix} 2 & 1\\ -1 & -3 \end{bmatrix} is ________

  1. \begin{bmatrix} -3 & -1\\ 1 & 2 \end{bmatrix}
  2. \begin{bmatrix} 3 & -1\\ 1 & 2 \end{bmatrix}
  3. \begin{bmatrix} -3 & 1\\ 1 & -2 \end{bmatrix}
  4. \begin{bmatrix} 2 & 1\\ 1 & 3 \end{bmatrix}

26 / 38

A matrix is called a square matrix if its order is _____

27 / 38

Product of \begin{bmatrix} 2 & 0\\ 0 & 1 \end{bmatrix}\begin{bmatrix} -3 & 0\\ 0 & 4 \end{bmatrix} is ______ (Select correct option)

  1. \begin{bmatrix} -6 & 0\\ 0 & 4 \end{bmatrix}
  2. \begin{bmatrix} 6 & 0\\ 0 & 4 \end{bmatrix}
  3. \begin{bmatrix} 6 & 0\\ 0 & -4 \end{bmatrix}
  4. \begin{bmatrix} -6 & 0\\ 0 & -4 \end{bmatrix}

28 / 38

If for Matrix At = -A, then Matrix A is Called ______

29 / 38

The order of a matrix [ 1   2 ] is _____

30 / 38

The Matrix \begin{bmatrix} 1 & 2 \end{bmatrix} is a ______ Matrix.

31 / 38

if X + \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix} = \begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} , then X is equal to ________

A = \begin{bmatrix} 2 & 2\\ 2 & 0 \end{bmatrix}

B = \begin{bmatrix} 0 & 2\\ 2 & 2 \end{bmatrix}

C = \begin{bmatrix} 2 & 0\\ 0 & 2 \end{bmatrix}

D = \begin{bmatrix} 2 & 2\\ 0 & 2 \end{bmatrix}

32 / 38

Which is order of a square matrix?

33 / 38

Two Materices A and B are confirmable for multiplication if ______

34 / 38

\begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ____ Matrix

35 / 38

(AB)ˉ¹ = ______

36 / 38

Product of \begin{bmatrix} x & 4 \end{bmatrix}\begin{bmatrix} 2\\ -1 \end{bmatrix} is _____

37 / 38

If \begin{bmatrix} a+3 & 5\\ 6 & 4 \end{bmatrix} = \begin{bmatrix} 5 & 5\\ 6 & 4 \end{bmatrix} , then "a" is equal to ____

38 / 38

Order of transpose of \begin{bmatrix} 2 & 1\\ 0 & 1\\ 3 & 2 \end{bmatrix} is _______

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)


Exercise 1.2           (English)            (Urdu)


Exercise 1.3           (English)            (Urdu)


Exercise 1.4           (English)            (Urdu)


Exercise 1.5           (English)            (Urdu)


Exercise 1.6           (English)            (Urdu)


Exercise 1-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)


Exercise 2.2           (English)            (Urdu)


Exercise 2.3           (English)            (Urdu)


Exercise 2.4           (English)            (Urdu)


Exercise 2.5           (English)            (Urdu)


Exercise 2.6           (English)            (Urdu)


Exercise 2-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)


Exercise 3.2           (English)            (Urdu)


Exercise 3.3           (English)            (Urdu)


Exercise 3.4           (English)            (Urdu)


Exercise 3-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)


Exercise 4.2           (English)            (Urdu)


Exercise 4.3           (English)            (Urdu)


Exercise 4.4           (English)            (Urdu)


Exercise 4-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)


Exercise 5.2           (English)            (Urdu)


Exercise 5.3           (English)            (Urdu)


Exercise 5.4           (English)            (Urdu)


Exercise 5-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)


Exercise 6.2           (English)            (Urdu)


Exercise 6.3           (English)            (Urdu)


Exercise 6-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 7.1           (English)            (Urdu)


Exercise 7.2           (English)            (Urdu)


Exercise 7.3           (English)            (Urdu)


Exercise 7-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)


Exercise 8.2           (English)            (Urdu)


Exercise 8.3           (English)            (Urdu)


Exercise 8-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)


Exercise 9.2           (English)            (Urdu)


Exercise 9.3           (English)            (Urdu)


Exercise 9-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)


Exercise 10.2           (English)            (Urdu)


Exercise 10.3           (English)            (Urdu)


Exercise 10.4           (English)            (Urdu)


Exercise 10-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)


Exercise 11.2           (English)            (Urdu)


Exercise 11.3           (English)            (Urdu)


Exercise 11.4           (English)            (Urdu)


Exercise 11.5           (English)            (Urdu)


Exercise 11-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)


Exercise 12.2           (English)            (Urdu)


Exercise 12.3           (English)            (Urdu)


Exercise 12-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)


Exercise 13.2           (English)            (Urdu)


Exercise 13-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)


Exercise 14.2           (English)            (Urdu)


Exercise 14-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)


Exercise 15-Rev   (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)


Exercise 16.2           (English)            (Urdu)


Exercise 16-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)


Exercise 17.2           (English)            (Urdu)


Exercise 17.3           (English)            (Urdu)


Exercise 17.4           (English)            (Urdu)


Exercise 17.5           (English)            (Urdu)


Exercise 17-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions


9th Math Science Group (English Medium)


9th Math Science Group (Urdu Medium)


9th Math Arts Group (Urdu Medium)



Class 9th Math Notes pdf (Solution)

There are Seventeen chapters in Mathematics 9th Class for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. Anyone can download the PDF file of the notes. Note that, you can view these notes only if you have PDF reader software/ App on your device. However online view of the notes is also available on eStudent.pk . You can find all solution along with 9th Class Math Notes in Urdu (Science Group), Math MCQs Class 9. if you are searching the topics like Math Notes Class 9, 9th class math notes, Math notes for class 9, math notes class 9 pdf, class 9 math notes pdf, math class 9 notes Punjab board, 9th class math solution pdf free download, key book of mathematics 9th class Punjab text book board, maths class 9 notes kpk board pdf, class 9 maths notes pdf, maths class 9 notes punjab board, key book of mathematics 9th class punjab text book pdf, math notes class 9 English medium, math notes class 9 kpk board, math notes class 9 adamjee notes, maths class 9 notes, 9th class math notes chapter 1, 9th class math solution chapter 1 pdf, math notes class 9 chapter 1, Math Notes Class 9 Exercise 1.5, exercise 1.5 class 9, exercise 1.5 class 9 then this post is specially for you and your future. All Boards of Intermediate & Secondary Educations in Punjab, Federal Board of Intermediate and Secondary Education, kpd board, Sindh board, Agha Khan Board and also Allama Iqbal Open University are taking examination according to Mathematics 9th Class. 9th Class Math key book pdf in English.


Notes of 9th Class Math:

related keywords are math notes class 9 pdf, math notes class 9 kpk board, math notes class 9 urdu medium, math notes class 9 chapter 1, fbise math notes class 9, general math notes class 9, adamjee math notes class 9, ncert math notes class 9, math notes class 9th, maths notes class 9, maths notes class 9 kerala syllabus, maths notes class 9 kpk, maths notes class 9 state syllabus, maths notes class 9 chapter 1, maths notes class 9 sindh board, maths notes class 9 pdf, maths ncert notes class 9

Math Notes Class 9 Exercise 1.4

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Math Notes Class 9 Exercise 1.4

“Math” a compulsory subject for 9th class Science students. and Math Notes Class 9 Exercise 1.4 English Medium (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you 9th class math notes Solution for your better preparation. 9th class Science Students can get more practice and  prepared through these important mathematics class 9 notes solutions. We are providing you these notes in the pdf files in which you can easily download and save. 9th class general math notes pdf is available for preparation here. Lets take a visit on English Medium also Urdu Medium version and enjoy your study also share with your friends for the easiness of other classmates and colleagues.

(DOWNLOAD IN PDF FORMAT)

Note: If you find any error, then just inform us in comments or email address admin@eStudent.pk


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Time is over

Thanks for taking Quiz, Click Finish Button to see your Result


Math Ch#1, 09th Class

Here MCQs for your Revision

For Good Revision & Grip on Concept, You Should take the MCQs and Revise it again and again

Good Luck. . . .  (:

Welcome

You Should Enter your Name

1 / 38

Matrix A + B can be found, if ________________

2 / 38

Order of Matrix \begin{bmatrix} 3\\ -1\\ 6 \end{bmatrix} is _______

3 / 38

\begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ____ Matrix

4 / 38

\begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} Matrix is called _________

5 / 38

Which is order of a square matrix?

6 / 38

Additive Inverse of \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix} is ______

A = \begin{bmatrix} 1 & 2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & 1 \end{bmatrix}

D = \begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix}

7 / 38

The order of Matrix \begin{bmatrix} 2 & 1 \end{bmatrix} is _______

8 / 38

The order of a matrix [ 1   2 ] is _____

9 / 38

if \begin{vmatrix} 2 & 6\\ 3 & x \end{vmatrix} = 0 then x is equal to ________

10 / 38

If for Matrix At = -A, then Matrix A is Called ______

11 / 38

Inverse of a Matrix A is equal to ________

12 / 38

[ 5 ] is a matrix with order ______

13 / 38

In Matrix multiplication, in general, A.B ___ B.A

14 / 38

If \begin{vmatrix} 3 & -1\\ 0 & x \end{vmatrix}  = 3, then x is equal to _______

15 / 38

Two Materices A and B are confirmable for multiplication if ______

16 / 38

An Identity Matrix (Unity Matrix) is always a _____

17 / 38

\begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix} is called _________

18 / 38

(AB)ˉ¹ = ______

19 / 38

A matrix obtained by interchanging Rows and Columns, is called _______ of matrix

20 / 38

Two matrices are said to be confirmable for _______ if they have same order.

21 / 38

A square Matrix A is said to be _____ matrix if |A|=0.

22 / 38

If A=\begin{bmatrix} 4 & 5 \end{bmatrix} and B = [ 5 ], then the which product is possible ?

23 / 38

A Matrix is called _______ , if number of rows and columns are equal

24 / 38

The Matrix \begin{bmatrix} 1 & 2 \end{bmatrix} is a ______ Matrix.

25 / 38

Matrix \begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ______

26 / 38

If A is a Square Matrix and At =A, than A is called ________

27 / 38

Let A and B are two matrices of the same order and A+B=0, then A and B are said to be _____ of each other.

28 / 38

If \begin{bmatrix} a+3 & 5\\ 6 & 4 \end{bmatrix} = \begin{bmatrix} 5 & 5\\ 6 & 4 \end{bmatrix} , then "a" is equal to ____

29 / 38

Order of transpose of \begin{bmatrix} 2 & 1\\ 0 & 1\\ 3 & 2 \end{bmatrix} is _______

30 / 38

A matrix is called a square matrix if its order is _____

31 / 38

The Matrix of the same order _____ satisfy commutative law under addition.

32 / 38

Adjoint of \begin{bmatrix} 2 & 1\\ -1 & -3 \end{bmatrix} is ________

  1. \begin{bmatrix} -3 & -1\\ 1 & 2 \end{bmatrix}
  2. \begin{bmatrix} 3 & -1\\ 1 & 2 \end{bmatrix}
  3. \begin{bmatrix} -3 & 1\\ 1 & -2 \end{bmatrix}
  4. \begin{bmatrix} 2 & 1\\ 1 & 3 \end{bmatrix}

33 / 38

Product of \begin{bmatrix} x & 4 \end{bmatrix}\begin{bmatrix} 2\\ -1 \end{bmatrix} is _____

34 / 38

If A, B and C are three matrices such that AB=C, then ________ (Which is possible)

35 / 38

Product of \begin{bmatrix} 2 & 0\\ 0 & 1 \end{bmatrix}\begin{bmatrix} -3 & 0\\ 0 & 4 \end{bmatrix} is ______ (Select correct option)

  1. \begin{bmatrix} -6 & 0\\ 0 & 4 \end{bmatrix}
  2. \begin{bmatrix} 6 & 0\\ 0 & 4 \end{bmatrix}
  3. \begin{bmatrix} 6 & 0\\ 0 & -4 \end{bmatrix}
  4. \begin{bmatrix} -6 & 0\\ 0 & -4 \end{bmatrix}

36 / 38

if X + \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix} = \begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} , then X is equal to ________

A = \begin{bmatrix} 2 & 2\\ 2 & 0 \end{bmatrix}

B = \begin{bmatrix} 0 & 2\\ 2 & 2 \end{bmatrix}

C = \begin{bmatrix} 2 & 0\\ 0 & 2 \end{bmatrix}

D = \begin{bmatrix} 2 & 2\\ 0 & 2 \end{bmatrix}

37 / 38

A square matrix in which non-diagonal elements are zero, whereas all diagonal elements are equal is called _______

 

38 / 38

Adjoint of \begin{bmatrix} 1 & 2\\ 0 & -1 \end{bmatrix} is ________

A = \begin{bmatrix} -1 & -2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & -1 \end{bmatrix}

D = \begin{bmatrix} -1 & 0\\ 2 & 1 \end{bmatrix}

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)


Exercise 1.2           (English)            (Urdu)


Exercise 1.3           (English)            (Urdu)


Exercise 1.4           (English)            (Urdu)


Exercise 1.5           (English)            (Urdu)


Exercise 1.6           (English)            (Urdu)


Exercise 1-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)


Exercise 2.2           (English)            (Urdu)


Exercise 2.3           (English)            (Urdu)


Exercise 2.4           (English)            (Urdu)


Exercise 2.5           (English)            (Urdu)


Exercise 2.6           (English)            (Urdu)


Exercise 2-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)


Exercise 3.2           (English)            (Urdu)


Exercise 3.3           (English)            (Urdu)


Exercise 3.4           (English)            (Urdu)


Exercise 3-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)


Exercise 4.2           (English)            (Urdu)


Exercise 4.3           (English)            (Urdu)


Exercise 4.4           (English)            (Urdu)


Exercise 4-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)


Exercise 5.2           (English)            (Urdu)


Exercise 5.3           (English)            (Urdu)


Exercise 5.4           (English)            (Urdu)


Exercise 5-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)


Exercise 6.2           (English)            (Urdu)


Exercise 6.3           (English)            (Urdu)


Exercise 6-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 7.1           (English)            (Urdu)


Exercise 7.2           (English)            (Urdu)


Exercise 7.3           (English)            (Urdu)


Exercise 7-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)


Exercise 8.2           (English)            (Urdu)


Exercise 8.3           (English)            (Urdu)


Exercise 8-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)


Exercise 9.2           (English)            (Urdu)


Exercise 9.3           (English)            (Urdu)


Exercise 9-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)


Exercise 10.2           (English)            (Urdu)


Exercise 10.3           (English)            (Urdu)


Exercise 10.4           (English)            (Urdu)


Exercise 10-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)


Exercise 11.2           (English)            (Urdu)


Exercise 11.3           (English)            (Urdu)


Exercise 11.4           (English)            (Urdu)


Exercise 11.5           (English)            (Urdu)


Exercise 11-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)


Exercise 12.2           (English)            (Urdu)


Exercise 12.3           (English)            (Urdu)


Exercise 12-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)


Exercise 13.2           (English)            (Urdu)


Exercise 13-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)


Exercise 14.2           (English)            (Urdu)


Exercise 14-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)


Exercise 15-Rev   (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)


Exercise 16.2           (English)            (Urdu)


Exercise 16-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)


Exercise 17.2           (English)            (Urdu)


Exercise 17.3           (English)            (Urdu)


Exercise 17.4           (English)            (Urdu)


Exercise 17.5           (English)            (Urdu)


Exercise 17-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions


9th Math Science Group (English Medium)


9th Math Science Group (Urdu Medium)


9th Math Arts Group (Urdu Medium)



Class 9th Math Notes pdf (Solution)

There are Seventeen chapters in Mathematics 9th Class for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. Anyone can download the PDF file of the notes. Note that, you can view these notes only if you have PDF reader software/ App on your device. However online view of the notes is also available on eStudent.pk . You can find all solution along with 9th Class Math Notes in Urdu (Science Group), Math MCQs Class 9. if you are searching the topics like Math Notes Class 9, 9th class math notes, Math notes for class 9, math notes class 9 pdf, class 9 math notes pdf, math class 9 notes Punjab board, 9th class math solution pdf free download, key book of mathematics 9th class Punjab text book board, maths class 9 notes kpk board pdf, class 9 maths notes pdf, maths class 9 notes punjab board, key book of mathematics 9th class punjab text book pdf, math notes class 9 English medium, math notes class 9 kpk board, math notes class 9 adamjee notes, maths class 9 notes, 9th class math notes chapter 1, 9th class math solution chapter 1 pdf, math notes class 9 chapter 1, Math Notes Class 9 Exercise 1.4, exercise 1.4 class 9, exercise 1.4 class 9 then this post is specially for you and your future. All Boards of Intermediate & Secondary Educations in Punjab, Federal Board of Intermediate and Secondary Education, kpd board, Sindh board, Agha Khan Board and also Allama Iqbal Open University are taking examination according to Mathematics 9th Class. 9th Class Math key book pdf in English.


Notes of 9th Class Math:

related keywords are math notes class 9 pdf, math notes class 9 kpk board, math notes class 9 urdu medium, math notes class 9 chapter 1, fbise math notes class 9, general math notes class 9, adamjee math notes class 9, ncert math notes class 9, math notes class 9th, maths notes class 9, maths notes class 9 kerala syllabus, maths notes class 9 kpk, maths notes class 9 state syllabus, maths notes class 9 chapter 1, maths notes class 9 sindh board, maths notes class 9 pdf, maths notes class 9 chapter 2, maths notes class 9 chapter 4, maths ncert notes class 9

Math Notes Class 9 Exercise 1.3

Sharing is Caring

Math Notes Class 9 Exercise 1.3

“Math” a compulsory subject for 9th class Science students. and Math Notes Class 9 Exercise 1.3 English Medium (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you 9th class math notes Solution for your better preparation. 9th class Science Students can get more practice and  prepared through these important mathematics class 9 notes solutions. We are providing you these notes in the pdf files in which you can easily download and save. 9th class general math notes pdf is available for preparation here. Lets take a visit on English Medium also Urdu Medium version and enjoy your study also share with your friends for the easiness of other classmates and colleagues.

(DOWNLOAD IN PDF FORMAT)

Note: If you find any error, then just inform us in comments or email address admin@eStudent.pk


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120

Revise / Test Your MCQs

Time is over

Thanks for taking Quiz, Click Finish Button to see your Result


Math Ch#1, 09th Class

Here MCQs for your Revision

For Good Revision & Grip on Concept, You Should take the MCQs and Revise it again and again

Good Luck. . . .  (:

Welcome

You Should Enter your Name

1 / 38

\begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix} is called _________

2 / 38

A matrix obtained by interchanging Rows and Columns, is called _______ of matrix

3 / 38

Product of \begin{bmatrix} x & 4 \end{bmatrix}\begin{bmatrix} 2\\ -1 \end{bmatrix} is _____

4 / 38

Order of Matrix \begin{bmatrix} 3\\ -1\\ 6 \end{bmatrix} is _______

5 / 38

A matrix is called a square matrix if its order is _____

6 / 38

Adjoint of \begin{bmatrix} 1 & 2\\ 0 & -1 \end{bmatrix} is ________

A = \begin{bmatrix} -1 & -2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & -1 \end{bmatrix}

D = \begin{bmatrix} -1 & 0\\ 2 & 1 \end{bmatrix}

7 / 38

Additive Inverse of \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix} is ______

A = \begin{bmatrix} 1 & 2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & 1 \end{bmatrix}

D = \begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix}

8 / 38

(AB)ˉ¹ = ______

9 / 38

If A, B and C are three matrices such that AB=C, then ________ (Which is possible)

10 / 38

Which is order of a square matrix?

11 / 38

If for Matrix At = -A, then Matrix A is Called ______

12 / 38

If \begin{vmatrix} 3 & -1\\ 0 & x \end{vmatrix}  = 3, then x is equal to _______

13 / 38

Let A and B are two matrices of the same order and A+B=0, then A and B are said to be _____ of each other.

14 / 38

The order of a matrix [ 1   2 ] is _____

15 / 38

In Matrix multiplication, in general, A.B ___ B.A

16 / 38

Inverse of a Matrix A is equal to ________

17 / 38

The Matrix \begin{bmatrix} 1 & 2 \end{bmatrix} is a ______ Matrix.

18 / 38

A Matrix is called _______ , if number of rows and columns are equal

19 / 38

Two matrices are said to be confirmable for _______ if they have same order.

20 / 38

if X + \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix} = \begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} , then X is equal to ________

A = \begin{bmatrix} 2 & 2\\ 2 & 0 \end{bmatrix}

B = \begin{bmatrix} 0 & 2\\ 2 & 2 \end{bmatrix}

C = \begin{bmatrix} 2 & 0\\ 0 & 2 \end{bmatrix}

D = \begin{bmatrix} 2 & 2\\ 0 & 2 \end{bmatrix}

21 / 38

A square Matrix A is said to be _____ matrix if |A|=0.

22 / 38

The Matrix of the same order _____ satisfy commutative law under addition.

23 / 38

\begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} Matrix is called _________

24 / 38

An Identity Matrix (Unity Matrix) is always a _____

25 / 38

If \begin{bmatrix} a+3 & 5\\ 6 & 4 \end{bmatrix} = \begin{bmatrix} 5 & 5\\ 6 & 4 \end{bmatrix} , then "a" is equal to ____

26 / 38

Product of \begin{bmatrix} 2 & 0\\ 0 & 1 \end{bmatrix}\begin{bmatrix} -3 & 0\\ 0 & 4 \end{bmatrix} is ______ (Select correct option)

  1. \begin{bmatrix} -6 & 0\\ 0 & 4 \end{bmatrix}
  2. \begin{bmatrix} 6 & 0\\ 0 & 4 \end{bmatrix}
  3. \begin{bmatrix} 6 & 0\\ 0 & -4 \end{bmatrix}
  4. \begin{bmatrix} -6 & 0\\ 0 & -4 \end{bmatrix}

27 / 38

Matrix \begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ______

28 / 38

If A=\begin{bmatrix} 4 & 5 \end{bmatrix} and B = [ 5 ], then the which product is possible ?

29 / 38

Adjoint of \begin{bmatrix} 2 & 1\\ -1 & -3 \end{bmatrix} is ________

  1. \begin{bmatrix} -3 & -1\\ 1 & 2 \end{bmatrix}
  2. \begin{bmatrix} 3 & -1\\ 1 & 2 \end{bmatrix}
  3. \begin{bmatrix} -3 & 1\\ 1 & -2 \end{bmatrix}
  4. \begin{bmatrix} 2 & 1\\ 1 & 3 \end{bmatrix}

30 / 38

Matrix A + B can be found, if ________________

31 / 38

\begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ____ Matrix

32 / 38

Order of transpose of \begin{bmatrix} 2 & 1\\ 0 & 1\\ 3 & 2 \end{bmatrix} is _______

33 / 38

If A is a Square Matrix and At =A, than A is called ________

34 / 38

if \begin{vmatrix} 2 & 6\\ 3 & x \end{vmatrix} = 0 then x is equal to ________

35 / 38

A square matrix in which non-diagonal elements are zero, whereas all diagonal elements are equal is called _______

 

36 / 38

Two Materices A and B are confirmable for multiplication if ______

37 / 38

[ 5 ] is a matrix with order ______

38 / 38

The order of Matrix \begin{bmatrix} 2 & 1 \end{bmatrix} is _______

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)


Exercise 1.2           (English)            (Urdu)


Exercise 1.3           (English)            (Urdu)


Exercise 1.4           (English)            (Urdu)


Exercise 1.5           (English)            (Urdu)


Exercise 1.6           (English)            (Urdu)


Exercise 1-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)


Exercise 2.2           (English)            (Urdu)


Exercise 2.3           (English)            (Urdu)


Exercise 2.4           (English)            (Urdu)


Exercise 2.5           (English)            (Urdu)


Exercise 2.6           (English)            (Urdu)


Exercise 2-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)


Exercise 3.2           (English)            (Urdu)


Exercise 3.3           (English)            (Urdu)


Exercise 3.4           (English)            (Urdu)


Exercise 3-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)


Exercise 4.2           (English)            (Urdu)


Exercise 4.3           (English)            (Urdu)


Exercise 4.4           (English)            (Urdu)


Exercise 4-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)


Exercise 5.2           (English)            (Urdu)


Exercise 5.3           (English)            (Urdu)


Exercise 5.4           (English)            (Urdu)


Exercise 5-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)


Exercise 6.2           (English)            (Urdu)


Exercise 6.3           (English)            (Urdu)


Exercise 6-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 7.1           (English)            (Urdu)


Exercise 7.2           (English)            (Urdu)


Exercise 7.3           (English)            (Urdu)


Exercise 7-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)


Exercise 8.2           (English)            (Urdu)


Exercise 8.3           (English)            (Urdu)


Exercise 8-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)


Exercise 9.2           (English)            (Urdu)


Exercise 9.3           (English)            (Urdu)


Exercise 9-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)


Exercise 10.2           (English)            (Urdu)


Exercise 10.3           (English)            (Urdu)


Exercise 10.4           (English)            (Urdu)


Exercise 10-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)


Exercise 11.2           (English)            (Urdu)


Exercise 11.3           (English)            (Urdu)


Exercise 11.4           (English)            (Urdu)


Exercise 11.5           (English)            (Urdu)


Exercise 11-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)


Exercise 12.2           (English)            (Urdu)


Exercise 12.3           (English)            (Urdu)


Exercise 12-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)


Exercise 13.2           (English)            (Urdu)


Exercise 13-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)


Exercise 14.2           (English)            (Urdu)


Exercise 14-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)


Exercise 15-Rev   (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)


Exercise 16.2           (English)            (Urdu)


Exercise 16-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)


Exercise 17.2           (English)            (Urdu)


Exercise 17.3           (English)            (Urdu)


Exercise 17.4           (English)            (Urdu)


Exercise 17.5           (English)            (Urdu)


Exercise 17-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions


9th Math Science Group (English Medium)


9th Math Science Group (Urdu Medium)


9th Math Arts Group (Urdu Medium)



Class 9th Math Notes pdf (Solution)

There are Seventeen chapters in Mathematics 9th Class for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. Anyone can download the PDF file of the notes. Note that, you can view these notes only if you have PDF reader software/ App on your device. However online view of the notes is also available on eStudent.pk . You can find all solution along with 9th Class Math Notes in Urdu (Science Group), Math MCQs Class 9. if you are searching the topics like Math Notes Class 9, 9th class math notes, Math notes for class 9, math notes class 9 pdf, class 9 math notes pdf, math class 9 notes Punjab board, 9th class math solution pdf free download, key book of mathematics 9th class Punjab text book board, maths class 9 notes kpk board pdf, class 9 maths notes pdf, maths class 9 notes punjab board, key book of mathematics 9th class punjab text book pdf, math notes class 9 urdu medium, math notes class 9 kpk board, math notes class 9 adamjee notes, maths class 9 notes, 9th class math notes chapter 1, 9th class math solution chapter 1 pdf, math notes class 9 chapter 1, Math Notes Class 9 Exercise 1.3, exercise 1.3 class 9, exercise 1.3 class 9 then this post is specially for you and your future. All Boards of Intermediate & Secondary Educations in Punjab, Federal Board of Intermediate and Secondary Education, kpd board, Sindh board, Agha Khan Board and also Allama Iqbal Open University are taking examination according to Mathematics 9th Class. 9th Class Math key book pdf in urdu.


Notes of 9th Class Math:

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Math Notes Class 9 Exercise 1.2

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Math Notes Class 9 Exercise 1.2

“Math” a compulsory subject for 9th class Science students. and Math Notes Class 9 Exercise 1.2 English Medium (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you 9th class math notes Solution for your better preparation. 9th class Science Students can get more practice and  prepared through these important mathematics class 9 notes solutions. We are providing you these notes in the pdf files in which you can easily download and save. 9th class general math notes pdf is available for preparation here. Lets take a visit on English Medium also Urdu Medium version and enjoy your study also share with your friends for the easiness of other classmates and colleagues.

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Math Ch#1, 09th Class

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1 / 38

\begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix} is called _________

2 / 38

An Identity Matrix (Unity Matrix) is always a _____

3 / 38

if \begin{vmatrix} 2 & 6\\ 3 & x \end{vmatrix} = 0 then x is equal to ________

4 / 38

if X + \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix} = \begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} , then X is equal to ________

A = \begin{bmatrix} 2 & 2\\ 2 & 0 \end{bmatrix}

B = \begin{bmatrix} 0 & 2\\ 2 & 2 \end{bmatrix}

C = \begin{bmatrix} 2 & 0\\ 0 & 2 \end{bmatrix}

D = \begin{bmatrix} 2 & 2\\ 0 & 2 \end{bmatrix}

5 / 38

Two matrices are said to be confirmable for _______ if they have same order.

6 / 38

If for Matrix At = -A, then Matrix A is Called ______

7 / 38

In Matrix multiplication, in general, A.B ___ B.A

8 / 38

(AB)ˉ¹ = ______

9 / 38

The Matrix of the same order _____ satisfy commutative law under addition.

10 / 38

Additive Inverse of \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix} is ______

A = \begin{bmatrix} 1 & 2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & 1 \end{bmatrix}

D = \begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix}

11 / 38

If A=\begin{bmatrix} 4 & 5 \end{bmatrix} and B = [ 5 ], then the which product is possible ?

12 / 38

Matrix \begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ______

13 / 38

A matrix obtained by interchanging Rows and Columns, is called _______ of matrix

14 / 38

The order of a matrix [ 1   2 ] is _____

15 / 38

Order of Matrix \begin{bmatrix} 3\\ -1\\ 6 \end{bmatrix} is _______

16 / 38

If \begin{vmatrix} 3 & -1\\ 0 & x \end{vmatrix}  = 3, then x is equal to _______

17 / 38

If A, B and C are three matrices such that AB=C, then ________ (Which is possible)

18 / 38

Which is order of a square matrix?

19 / 38

Let A and B are two matrices of the same order and A+B=0, then A and B are said to be _____ of each other.

20 / 38

Product of \begin{bmatrix} 2 & 0\\ 0 & 1 \end{bmatrix}\begin{bmatrix} -3 & 0\\ 0 & 4 \end{bmatrix} is ______ (Select correct option)

  1. \begin{bmatrix} -6 & 0\\ 0 & 4 \end{bmatrix}
  2. \begin{bmatrix} 6 & 0\\ 0 & 4 \end{bmatrix}
  3. \begin{bmatrix} 6 & 0\\ 0 & -4 \end{bmatrix}
  4. \begin{bmatrix} -6 & 0\\ 0 & -4 \end{bmatrix}

21 / 38

\begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} Matrix is called _________

22 / 38

Matrix A + B can be found, if ________________

23 / 38

Adjoint of \begin{bmatrix} 2 & 1\\ -1 & -3 \end{bmatrix} is ________

  1. \begin{bmatrix} -3 & -1\\ 1 & 2 \end{bmatrix}
  2. \begin{bmatrix} 3 & -1\\ 1 & 2 \end{bmatrix}
  3. \begin{bmatrix} -3 & 1\\ 1 & -2 \end{bmatrix}
  4. \begin{bmatrix} 2 & 1\\ 1 & 3 \end{bmatrix}

24 / 38

Two Materices A and B are confirmable for multiplication if ______

25 / 38

Order of transpose of \begin{bmatrix} 2 & 1\\ 0 & 1\\ 3 & 2 \end{bmatrix} is _______

26 / 38

If A is a Square Matrix and At =A, than A is called ________

27 / 38

If \begin{bmatrix} a+3 & 5\\ 6 & 4 \end{bmatrix} = \begin{bmatrix} 5 & 5\\ 6 & 4 \end{bmatrix} , then "a" is equal to ____

28 / 38

Adjoint of \begin{bmatrix} 1 & 2\\ 0 & -1 \end{bmatrix} is ________

A = \begin{bmatrix} -1 & -2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & -1 \end{bmatrix}

D = \begin{bmatrix} -1 & 0\\ 2 & 1 \end{bmatrix}

29 / 38

Inverse of a Matrix A is equal to ________

30 / 38

The Matrix \begin{bmatrix} 1 & 2 \end{bmatrix} is a ______ Matrix.

31 / 38

A square Matrix A is said to be _____ matrix if |A|=0.

32 / 38

A Matrix is called _______ , if number of rows and columns are equal

33 / 38

\begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ____ Matrix

34 / 38

The order of Matrix \begin{bmatrix} 2 & 1 \end{bmatrix} is _______

35 / 38

A square matrix in which non-diagonal elements are zero, whereas all diagonal elements are equal is called _______

 

36 / 38

Product of \begin{bmatrix} x & 4 \end{bmatrix}\begin{bmatrix} 2\\ -1 \end{bmatrix} is _____

37 / 38

[ 5 ] is a matrix with order ______

38 / 38

A matrix is called a square matrix if its order is _____

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)


Exercise 1.2           (English)            (Urdu)


Exercise 1.3           (English)            (Urdu)


Exercise 1.4           (English)            (Urdu)


Exercise 1.5           (English)            (Urdu)


Exercise 1.6           (English)            (Urdu)


Exercise 1-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)


Exercise 2.2           (English)            (Urdu)


Exercise 2.3           (English)            (Urdu)


Exercise 2.4           (English)            (Urdu)


Exercise 2.5           (English)            (Urdu)


Exercise 2.6           (English)            (Urdu)


Exercise 2-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)


Exercise 3.2           (English)            (Urdu)


Exercise 3.3           (English)            (Urdu)


Exercise 3.4           (English)            (Urdu)


Exercise 3-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)


Exercise 4.2           (English)            (Urdu)


Exercise 4.3           (English)            (Urdu)


Exercise 4.4           (English)            (Urdu)


Exercise 4-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)


Exercise 5.2           (English)            (Urdu)


Exercise 5.3           (English)            (Urdu)


Exercise 5.4           (English)            (Urdu)


Exercise 5-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)


Exercise 6.2           (English)            (Urdu)


Exercise 6.3           (English)            (Urdu)


Exercise 6-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 7.1           (English)            (Urdu)


Exercise 7.2           (English)            (Urdu)


Exercise 7.3           (English)            (Urdu)


Exercise 7-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)


Exercise 8.2           (English)            (Urdu)


Exercise 8.3           (English)            (Urdu)


Exercise 8-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)


Exercise 9.2           (English)            (Urdu)


Exercise 9.3           (English)            (Urdu)


Exercise 9-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)


Exercise 10.2           (English)            (Urdu)


Exercise 10.3           (English)            (Urdu)


Exercise 10.4           (English)            (Urdu)


Exercise 10-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)


Exercise 11.2           (English)            (Urdu)


Exercise 11.3           (English)            (Urdu)


Exercise 11.4           (English)            (Urdu)


Exercise 11.5           (English)            (Urdu)


Exercise 11-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)


Exercise 12.2           (English)            (Urdu)


Exercise 12.3           (English)            (Urdu)


Exercise 12-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)


Exercise 13.2           (English)            (Urdu)


Exercise 13-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)


Exercise 14.2           (English)            (Urdu)


Exercise 14-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)


Exercise 15-Rev   (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)


Exercise 16.2           (English)            (Urdu)


Exercise 16-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)


Exercise 17.2           (English)            (Urdu)


Exercise 17.3           (English)            (Urdu)


Exercise 17.4           (English)            (Urdu)


Exercise 17.5           (English)            (Urdu)


Exercise 17-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions


9th Math Science Group (English Medium)


9th Math Science Group (Urdu Medium)


9th Math Arts Group (Urdu Medium)



Class 9th Math Notes pdf (Solution)

There are Seventeen chapters in Mathematics 9th Class for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. Anyone can download the PDF file of the notes. Note that, you can view these notes only if you have PDF reader software/ App on your device. However online view of the notes is also available on eStudent.pk . You can find all solution along with 9th Class Math Notes in Urdu (Science Group), Math MCQs Class 9. if you are searching the topics like Math Notes Class 9, 9th class math notes, Math notes for class 9, math notes class 9 pdf, class 9 math notes pdf, math class 9 notes Punjab board, 9th class math solution pdf free download, key book of mathematics 9th class Punjab text book board, maths class 9 notes kpk board pdf, class 9 maths notes pdf, maths class 9 notes punjab board, key book of mathematics 9th class punjab text book pdf, math notes class 9 urdu medium, math notes class 9 kpk board, math notes class 9 adamjee notes, maths class 9 notes, 9th class math notes chapter 1, 9th class math solution chapter 1 pdf, math notes class 9 chapter 1, Math Notes Class 9 Exercise 1.2, exercise 1.2 class 9, exercise 1.2 class 9 then this post is specially for you and your future. All Boards of Intermediate & Secondary Educations in Punjab, Federal Board of Intermediate and Secondary Education, kpd board, Sindh board, Agha Khan Board and also Allama Iqbal Open University are taking examination according to Mathematics 9th Class. 9th Class Math key book pdf in urdu.


Notes of 9th Class Math:

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Math Notes Class 9 Exercise 1.1

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Math Notes Class 9 Exercise 1.1

“Math” a compulsory subject for 9th class Science students. and Math Notes Class 9 Exercise 1.1 English Medium (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you 9th class math notes Solution for your better preparation. 9th class Science Students can get more practice and  prepared through these important mathematics class 9 notes solutions. We are providing you these notes in the pdf files in which you can easily download and save. 9th class general math notes pdf is available for preparation here. Lets take a visit on English Medium also Urdu Medium version and enjoy your study also share with your friends for the easiness of other classmates and colleagues.

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Math Ch#1, 09th Class

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1 / 38

Matrix A + B can be found, if ________________

2 / 38

if \begin{vmatrix} 2 & 6\\ 3 & x \end{vmatrix} = 0 then x is equal to ________

3 / 38

A Matrix is called _______ , if number of rows and columns are equal

4 / 38

\begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix} is called _________

5 / 38

\begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ____ Matrix

6 / 38

Adjoint of \begin{bmatrix} 2 & 1\\ -1 & -3 \end{bmatrix} is ________

  1. \begin{bmatrix} -3 & -1\\ 1 & 2 \end{bmatrix}
  2. \begin{bmatrix} 3 & -1\\ 1 & 2 \end{bmatrix}
  3. \begin{bmatrix} -3 & 1\\ 1 & -2 \end{bmatrix}
  4. \begin{bmatrix} 2 & 1\\ 1 & 3 \end{bmatrix}

7 / 38

A square Matrix A is said to be _____ matrix if |A|=0.

8 / 38

if X + \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix} = \begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} , then X is equal to ________

A = \begin{bmatrix} 2 & 2\\ 2 & 0 \end{bmatrix}

B = \begin{bmatrix} 0 & 2\\ 2 & 2 \end{bmatrix}

C = \begin{bmatrix} 2 & 0\\ 0 & 2 \end{bmatrix}

D = \begin{bmatrix} 2 & 2\\ 0 & 2 \end{bmatrix}

9 / 38

Order of transpose of \begin{bmatrix} 2 & 1\\ 0 & 1\\ 3 & 2 \end{bmatrix} is _______

10 / 38

[ 5 ] is a matrix with order ______

11 / 38

If A=\begin{bmatrix} 4 & 5 \end{bmatrix} and B = [ 5 ], then the which product is possible ?

12 / 38

An Identity Matrix (Unity Matrix) is always a _____

13 / 38

Two Materices A and B are confirmable for multiplication if ______

14 / 38

The Matrix of the same order _____ satisfy commutative law under addition.

15 / 38

A square matrix in which non-diagonal elements are zero, whereas all diagonal elements are equal is called _______

 

16 / 38

Product of \begin{bmatrix} 2 & 0\\ 0 & 1 \end{bmatrix}\begin{bmatrix} -3 & 0\\ 0 & 4 \end{bmatrix} is ______ (Select correct option)

  1. \begin{bmatrix} -6 & 0\\ 0 & 4 \end{bmatrix}
  2. \begin{bmatrix} 6 & 0\\ 0 & 4 \end{bmatrix}
  3. \begin{bmatrix} 6 & 0\\ 0 & -4 \end{bmatrix}
  4. \begin{bmatrix} -6 & 0\\ 0 & -4 \end{bmatrix}

17 / 38

If A, B and C are three matrices such that AB=C, then ________ (Which is possible)

18 / 38

If \begin{bmatrix} a+3 & 5\\ 6 & 4 \end{bmatrix} = \begin{bmatrix} 5 & 5\\ 6 & 4 \end{bmatrix} , then "a" is equal to ____

19 / 38

The order of Matrix \begin{bmatrix} 2 & 1 \end{bmatrix} is _______

20 / 38

Order of Matrix \begin{bmatrix} 3\\ -1\\ 6 \end{bmatrix} is _______

21 / 38

The Matrix \begin{bmatrix} 1 & 2 \end{bmatrix} is a ______ Matrix.

22 / 38

A matrix is called a square matrix if its order is _____

23 / 38

In Matrix multiplication, in general, A.B ___ B.A

24 / 38

Which is order of a square matrix?

25 / 38

\begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} Matrix is called _________

26 / 38

Let A and B are two matrices of the same order and A+B=0, then A and B are said to be _____ of each other.

27 / 38

Additive Inverse of \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix} is ______

A = \begin{bmatrix} 1 & 2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & 1 \end{bmatrix}

D = \begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix}

28 / 38

A matrix obtained by interchanging Rows and Columns, is called _______ of matrix

29 / 38

Adjoint of \begin{bmatrix} 1 & 2\\ 0 & -1 \end{bmatrix} is ________

A = \begin{bmatrix} -1 & -2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & -1 \end{bmatrix}

D = \begin{bmatrix} -1 & 0\\ 2 & 1 \end{bmatrix}

30 / 38

Matrix \begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ______

31 / 38

The order of a matrix [ 1   2 ] is _____

32 / 38

If for Matrix At = -A, then Matrix A is Called ______

33 / 38

If \begin{vmatrix} 3 & -1\\ 0 & x \end{vmatrix}  = 3, then x is equal to _______

34 / 38

(AB)ˉ¹ = ______

35 / 38

If A is a Square Matrix and At =A, than A is called ________

36 / 38

Inverse of a Matrix A is equal to ________

37 / 38

Product of \begin{bmatrix} x & 4 \end{bmatrix}\begin{bmatrix} 2\\ -1 \end{bmatrix} is _____

38 / 38

Two matrices are said to be confirmable for _______ if they have same order.

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)


Exercise 1.2           (English)            (Urdu)


Exercise 1.3           (English)            (Urdu)


Exercise 1.4           (English)            (Urdu)


Exercise 1.5           (English)            (Urdu)


Exercise 1.6           (English)            (Urdu)


Exercise 1-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)


Exercise 2.2           (English)            (Urdu)


Exercise 2.3           (English)            (Urdu)


Exercise 2.4           (English)            (Urdu)


Exercise 2.5           (English)            (Urdu)


Exercise 2.6           (English)            (Urdu)


Exercise 2-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)


Exercise 3.2           (English)            (Urdu)


Exercise 3.3           (English)            (Urdu)


Exercise 3.4           (English)            (Urdu)


Exercise 3-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)


Exercise 4.2           (English)            (Urdu)


Exercise 4.3           (English)            (Urdu)


Exercise 4.4           (English)            (Urdu)


Exercise 4-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)


Exercise 5.2           (English)            (Urdu)


Exercise 5.3           (English)            (Urdu)


Exercise 5.4           (English)            (Urdu)


Exercise 5-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)


Exercise 6.2           (English)            (Urdu)


Exercise 6.3           (English)            (Urdu)


Exercise 6-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 7.1           (English)            (Urdu)


Exercise 7.2           (English)            (Urdu)


Exercise 7.3           (English)            (Urdu)


Exercise 7-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)


Exercise 8.2           (English)            (Urdu)


Exercise 8.3           (English)            (Urdu)


Exercise 8-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)


Exercise 9.2           (English)            (Urdu)


Exercise 9.3           (English)            (Urdu)


Exercise 9-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)


Exercise 10.2           (English)            (Urdu)


Exercise 10.3           (English)            (Urdu)


Exercise 10.4           (English)            (Urdu)


Exercise 10-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)


Exercise 11.2           (English)            (Urdu)


Exercise 11.3           (English)            (Urdu)


Exercise 11.4           (English)            (Urdu)


Exercise 11.5           (English)            (Urdu)


Exercise 11-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)


Exercise 12.2           (English)            (Urdu)


Exercise 12.3           (English)            (Urdu)


Exercise 12-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)


Exercise 13.2           (English)            (Urdu)


Exercise 13-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)


Exercise 14.2           (English)            (Urdu)


Exercise 14-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)


Exercise 15-Rev   (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)


Exercise 16.2           (English)            (Urdu)


Exercise 16-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)


Exercise 17.2           (English)            (Urdu)


Exercise 17.3           (English)            (Urdu)


Exercise 17.4           (English)            (Urdu)


Exercise 17.5           (English)            (Urdu)


Exercise 17-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions


9th Math Science Group (English Medium)


9th Math Science Group (Urdu Medium)


9th Math Arts Group (Urdu Medium)



Class 9th Math Notes pdf (Solution)

There are Seventeen chapters in Mathematics 9th Class for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. Anyone can download the PDF file of the notes. Note that, you can view these notes only if you have PDF reader software/ App on your device. However online view of the notes is also available on eStudent.pk . You can find all solution along with 9th Class Math Notes in Urdu (Science Group), Math MCQs Class 9. if you are searching the topics like Math Notes Class 9, 9th class math notes, Math notes for class 9, math notes class 9 pdf, class 9 math notes pdf, math class 9 notes Punjab board, 9th class math solution pdf free download, key book of mathematics 9th class Punjab text book board, maths class 9 notes kpk board pdf, class 9 maths notes pdf, maths class 9 notes punjab board, key book of mathematics 9th class punjab text book pdf, math notes class 9 urdu medium, math notes class 9 kpk board, math notes class 9 adamjee notes, maths class 9 notes, 9th class math notes chapter 1, 9th class math solution chapter 1 pdf, math notes class 9 chapter 1, Math Notes Class 9 Exercise 1.1, exercise 1.1 class 9, then this post is specially for you and your future. All Boards of Intermediate & Secondary Educations in Punjab, Federal Board of Intermediate and Secondary Education, kpd board, Sindh board, Agha Khan Board and also Allama Iqbal Open University are taking examination according to Mathematics 9th Class. 9th Class Math key book pdf in urdu.


Notes of 9th Class Math:

related keywords are math notes class 9 pdf, math notes class 9 kpk board, math notes class 9 urdu medium, math notes class 9 chapter 3, math notes class 9 chapter 2, math notes class 9 chapter 1, math notes class 9 chapter 4, math notes class 9 chapter 5, math notes class 9 chapter 6, fbise math notes class 9, general math notes class 9, adamjee math notes class 9, ncert math notes class 9, math notes class 9th, maths notes class 9, maths notes class 9 kerala syllabus, maths notes class 9 kpk, maths notes class 9 state syllabus, maths notes class 9 chapter 1, maths notes class 9 sindh board, maths notes class 9 pdf, maths notes class 9 chapter 2, maths notes class 9 chapter 4, maths ncert notes class 9