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Mathematics Notes for 9th Class Exercise 6.2

“Math” a compulsory subject for 9th class Science students. and Mathematics Notes for 9th Class Exercise 6.2 or Math Notes Class 9 English Medium (Science Group) included in this book.

The Question is How to Finding H.C.F. ? that is Good and knowledgeable Question, lets try to discuss with solution of problems.
We can find H. C. F. of given expressions by the following two methods.
(i) H.C.F By Factorization (ii) H.C.F By Division
Sometimes it is difficult to find factors of given expressions. In that case, method of division can be used to find H. C. F. We consider some examples to explain these two methods.
(i) H.C.F. by Factorization

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Math Ch#6, 09th Class

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1 / 17

H. C. F of  ( p^{3}q-pq^{3} ) and ( p^{5}q^{2}-p^{2}q^{5} ) is ___________

  • pq(p^{2}-q^{2})
  • pq(p-q)
  • p^{2}q^{2} (p-q)
  • pq(p^{3}-q^{3})

(Select Correct Option)

2 / 17

Simplify \frac{a}{9a^2 - b^2} + \frac{1}{3a-b} = __________

  1. \frac{4a}{9a^2-b^2}
  2. \frac{4a-b}{9a^2-b^2}
  3. \frac{4a+b}{9a^2-b^2}
  4. \frac{b}{9a^2-b^2}

(Choose Correct Option)

3 / 17

H.C.F of x^2 +3x+2 , x^2+4x+3 and x^2+5x+4 is __________

4 / 17

H.C.F of 5x^{2} and 20 x^{3} y^{3} is ____________

  • 5x^{2}y^{2}
  • 20x^{3}y^{3}
  • 100x^{5}y^{5}
  • 5xy

(Select Correct Option)

5 / 17

The Square Root of x^4 + \frac{1}{x^4}+2 is ___________

  • \pm \left ( x + \frac{1}{x} \right )
  • \pm \left ( x^2 + \frac{1}{x^2} \right )
  • \pm \left ( x - \frac{1}{x} \right )
  • \pm \left ( x^2 - \frac{1}{x^2} \right )

Select Correct Option

6 / 17

H.C.F of x^2 - 5x+6 and x^2 - x-6 is _______

7 / 17

H.C.F of x-2 and x^{2}+x-6 is ___________

  1. x^{2}+x-6
  2. x+3
  3. x-2
  4. x+2

(Chose Correct Option)

8 / 17

Simplify \left ( \frac{2x+1}{x+y}-1 \right )\div \left ( 1-\frac{x}{x-y} \right ) = __________

  • \frac{x}{x+y}
  • \frac{y}{x+y}
  • \frac{y}{x}
  • \frac{x}{y}

Which Option is Correct

9 / 17

the Square Root of a^2 - 2a + 1 is __________

10 / 17

H.C.F of a^2 - b^2  and a^3 - b^3  is ________

  1. a -b
  2. a+b
  3. a^2 + ab+ b^2
  4. a^2 - ab+b^2

(Choose Correct Option)

11 / 17

The product of two Algebraic expressions is equal to the ______ of their H.C.F and L.C.M

12 / 17

H.C.F of a^{3}+b^{3} and a^{2}-ab+b^{2} is ________

  1. a+b
  2. a^{2}-ab+b^{2}
  3. (a-b)^2
  4. a^2+b^2

(Chose Correct Option)

13 / 17

Simplify \frac{a^2 +5a-14}{a^2 - 3a-18} \times \frac{a+3}{a-2} = _________

  • \frac{a+7}{a-6}
  • \frac{a+7}{a-2}
  • \frac{a+3}{a-6}
  • \frac{a-2}{a+3}

(Choose Correct Option)

14 / 17

L.C.M of 15x^2 , 45xy , 30xyz is __________

  1. 90xyz
  2. 90x^2yz
  3. 15xyz
  4. 15x^2yz

(Choose Correct Option)

15 / 17

What should be added to complete the square of x^4 + 64 _____

  • 8x^2
  • -8x^2
  • 16x^2
  • 4x^2

Select Correct Option

16 / 17

Simplify \frac{a^3-b^3}{a^4-b^4} \div \frac{a^2+ab+b^2}{a^2+b^2} = ________

  • \frac{1}{a+b}
  • \frac{1}{a-b}
  • \frac{a-b}{a^2+b^2}
  • \frac{a+b}{a^2+b^2}

(Which option is Correct)

17 / 17

L.C.M of a^2+b^2 and a^4 - b^4 is _________

  1. a^2+b^2
  2. a^2-b^2
  3. a^4-b^4
  4. a-b

(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)



Mathematics Notes for 9th:

Basic Operations on Algebraic Fractions:

Working Rule to find L.C.M. of given Algebraic Expressions 
(i) Factorize the given expressions completely i.e., to simplest form.
(ii) Then the L.C.M. is obtained by taking the product of each factor appearing in any of the given expressions, raised to the highest power with which that factor appears.

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 Class 9 Notes:

the topics covered under these subjects like; Mathematics Notes for 9th Class Exercise 6.2, 9th class math notes chapter 6, 9th class math solution chapter 6 pdf, math notes class 9 chapter 6, Math Notes Class 9 Exercise 6.2, exercise 6.2 class 9, exercise 6.2 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

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