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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.

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Math Ch#1, 09th Class

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1 / 38

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

Skew Symmetric

None of these

Transpose

Symmetric

2 / 38

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

2 by 3

3 by 2

1 by 3

3 by 1

3 / 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.

Adjoint

Additive Inverse

Multiplicative Inverse

Transpose

4 / 38

(AB)ˉ¹ = ______

Aˉ¹ + Bˉ¹

Aˉ¹Bˉ¹

Bˉ¹Aˉ¹

5 / 38

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

3 x 1

2 x 3

1 x 3

3 x 2

6 / 38

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

Multiplication

Addition

Subtraction

Both Addition and Subtraction

7 / 38

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

[ 2x + y ]

[ x + 2y]

[ x - 2y ]

[ 2x - y ]

8 / 38

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

$\begin{bmatrix} -6 & 0\\ 0 & 4 \end{bmatrix}$
$\begin{bmatrix} 6 & 0\\ 0 & 4 \end{bmatrix}$
$\begin{bmatrix} 6 & 0\\ 0 & -4 \end{bmatrix}$
$\begin{bmatrix} -6 & 0\\ 0 & -4 \end{bmatrix}$

Option-I

Option-III

Option-IV

Option-II

9 / 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 = $\begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix}$

D-Matrix

A-Matrix

C-Matrix

B-Matrix

10 / 38

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

2 by 1

3 by 2

1 by 2

1 by 1

11 / 38

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

B . A

A . B

Both A.B and B.A

None of these

12 / 38

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

Singular Matrix

Identity Matrix

Null Matrix

Scalar Matrix

13 / 38

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

14 / 38

If for Matrix A^t = -A, then Matrix A is Called ______

None of these

Inverse Matrix

Symmetric

skew symmetric

15 / 38

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

None of these

2 x 2

2 x 1

1 x 2

16 / 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 = $\begin{bmatrix} 2 & 2\\ 0 & 2 \end{bmatrix}$

D-Matrix

B-Matrix

C-Matrix

A-Matrix

17 / 38

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

Scalar

Column

Square

Row

18 / 38

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

Identity Matrix

Null & Zero Matrix

None of these

19 / 38

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

Scaler Matrix

Null

Singluar

Non Singluar

20 / 38

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

$\begin{bmatrix} -3 & -1\\ 1 & 2 \end{bmatrix}$
$\begin{bmatrix} 3 & -1\\ 1 & 2 \end{bmatrix}$
$\begin{bmatrix} -3 & 1\\ 1 & -2 \end{bmatrix}$
$\begin{bmatrix} 2 & 1\\ 1 & 3 \end{bmatrix}$

Option-IV

Option-III

Option-I

Option-II

21 / 38

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

None of these

equal

Not Equal

22 / 38

An Identity Matrix (Unity Matrix) is always a _____

Null Matrix

Square Matrix

Rectangular Matrix

Column Matrix

23 / 38

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

-6

-9

24 / 38

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

Identity

Skew Symetric

Transpose

Symetric

25 / 38

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

26 / 38

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

B=Aˉ¹C

B=Cˉ¹A

B = C/A

B=C/A

27 / 38

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

Identity Matrix

Scalar Matrix

None of these

Symmetric Matrix

28 / 38

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

cannot

sometime

None of these

always

29 / 38

The order of a matrix [ 1 2 ] is _____

None of these

1 x 1

2 x 1

1 x 2

30 / 38

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

Identity Matrix

Square Matrix

Both Identity Matrix and Square Matrix

Scaler Matrix

31 / 38

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

Unit

Scalar

Singular

Zero

32 / 38

Which is order of a square matrix?

1 by 2

2 by 2

2 by 1

3 by 2

33 / 38

Inverse of a Matrix A is equal to ________

Adj A / |A|

Adj A / A

A / Adj A

|A| / Adj A

34 / 38

Matrix A + B can be found, if ________________

None of these

No of Rows and Columns are same

Order of Matrix A & B is same

No of Column of A & No of Rows of B are same

35 / 38

[ 5 ] is a matrix with order ______

2 x 1

1 x 1

1 x 2

0 x 0

36 / 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 = $\begin{bmatrix} -1 & 0\\ 2 & 1 \end{bmatrix}$

A-Matrix

D-Matrix

B-Matrix

C-Matrix

37 / 38

Two Materices A and B are confirmable for multiplication if ______

Order of A = Order of B

Number of Column of A = Number of Rows of B

None of these

Number of Rows of A = Number of Column of B

38 / 38

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

Square Matrix

Rectangular Matrix

Column Matrix

Row Matrix

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xyz	12:06:32 Nov 29, 2024	18%
stavan	00:08:03 Aug 28, 2024	39%
f	20:01:24 Apr 28, 2024	0%
bilal	10:06:22 Mar 14, 2024	0%
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abiha	12:08:16 Feb 18, 2024	92%
abiha	11:55:02 Feb 18, 2024	57%
Khadija	12:49:12 Feb 15, 2024	2%
Khaleel	20:39:06 Feb 12, 2024	5%
Afia	18:10:22 Feb 06, 2024	39%
Faizan Ali	21:00:19 Jan 23, 2024	31%
irtsam	03:41:56 Jan 17, 2024	0%
Hira Sher Khan	05:07:35 Jan 12, 2024	52%
Hira Sher Khan	18:02:28 Jan 12, 2024	0%
Abeeha	17:32:06 Jan 11, 2024	36%
Ghulam Muhammad	14:27:36 Jan 04, 2024	92%
Ghulam Muhammad	13:34:46 Jan 04, 2024	92%
Ghulam Muhammad	13:25:03 Jan 04, 2024	92%
Ghulam Muhammad	12:37:51 Jan 04, 2024	81%
dilawar	16:27:43 Dec 30, 2023	0%
Arfa	21:52:56 Dec 23, 2023	92%
arfa	21:44:57 Dec 23, 2023	76%
Arfa	21:32:52 Dec 23, 2023	60%
Amir	12:42:29 Nov 25, 2023	0%
abdul	17:40:38 Sep 11, 2023	2%
Saqib	23:59:29 Aug 17, 2023	65%
hospital	21:17:27 Aug 16, 2023	68%
Mahrukh khan	20:15:41 Aug 11, 2023	42%
S.S.M	22:22:06 Jul 26, 2023	78%
saqib alam	16:50:32 Jul 26, 2023	76%
saqib alam	16:38:06 Jul 26, 2023	57%
Saqib alam	15:18:03 Jul 25, 2023	50%
saqib	08:28:58 Jun 24, 2023	60%
Hijab	11:06:02 Jun 22, 2023	42%
ab	08:41:14 Jun 14, 2023	60%
rayyan	11:01:20 Jun 06, 2023	36%
Zubaida farooq	21:03:33 May 26, 2023	52%
Haleema Farooq	12:45:56 May 22, 2023	89%
Fareeha	20:36:39 May 18, 2023	63%
Bisma Ashraf	18:06:25 May 18, 2023	55%
imran	10:31:33 May 16, 2023	0%
seemal	13:05:22 May 01, 2023	68%
seemal	12:57:49 May 01, 2023	52%
Jojo	17:32:32 Apr 30, 2023	89%
Dako	23:10:08 Apr 18, 2023	0%
Anas	16:41:13 Apr 14, 2023	34%
Khochi	21:56:14 Apr 11, 2023	60%
Muhammad Shammas	01:01:38 Apr 10, 2023	57%
Hoorain	15:56:44 Apr 04, 2023	65%
M. Bilal	22:06:16 Mar 08, 2023	52%
Ali Hamza	06:24:06 Feb 10, 2023	78%
Abdaal	16:43:07 Jan 13, 2023	73%
Faizanfazi	20:56:11 Jan 06, 2023	76%
Faizanfazi	20:48:03 Jan 06, 2023	52%
Khurram	08:19:03 Dec 26, 2022	0%
Wajahat	21:50:33 Dec 06, 2022	92%
Wajahat	21:36:33 Dec 06, 2022	60%
fareeha	23:47:00 Oct 24, 2022	52%
Hamza	18:48:43 Oct 18, 2022	42%
M Faraz Ali	19:46:12 Oct 07, 2022	28%
Safa	17:48:03 Oct 07, 2022	0%
Ali raza	00:17:35 Sep 30, 2022	65%
Muhammad Ijaz	22:14:57 Aug 30, 2022	76%
Muhammad Bilal	17:31:04 Aug 28, 2022	68%
Nida	12:41:43 Aug 17, 2022	81%
TZ	11:53:05 Aug 14, 2022	92%
TZ	11:47:48 Aug 14, 2022	28%
Amna	11:34:33 Aug 11, 2022	86%
Uuu	11:21:27 Aug 11, 2022	65%
Amna	11:17:10 Aug 11, 2022	28%
Mano	10:02:35 Aug 09, 2022	81%
Habib	00:41:54 Aug 09, 2022	81%
Khadija	19:31:41 Jul 26, 2022	28%
allen	16:44:26 Jul 01, 2022	15%
eva gill	14:51:29 Jun 05, 2022	60%
shikha rani	08:13:40 Jun 03, 2022	21%
Umar	19:52:57 May 29, 2022	71%
Umar	19:45:49 May 29, 2022	47%
amna	20:06:16 May 26, 2022	84%
H	17:27:50 May 13, 2022	73%
Jannatirfan	12:23:26 May 13, 2022	0%
fassih	12:12:07 May 10, 2022	94%
fassih	12:06:21 May 10, 2022	94%
fassih	11:58:24 May 10, 2022	71%
Waseem	18:12:41 May 07, 2022	60%
Saad	14:00:13 Dec 15, 2021	94%
Saad	13:45:19 Dec 15, 2021	87%
Saad	13:34:26 Dec 15, 2021	71%
saad	12:36:19 Dec 15, 2021	69%
waseem	07:23:25 Dec 13, 2021	30%
sda	11:16:48 Dec 12, 2021	0%
Tauseef	12:19:37 Dec 09, 2021	48%
fatima	22:32:32 Dec 07, 2021	51%
Ficc	19:33:13 Dec 05, 2021	55%
Fahad	20:04:17 Nov 26, 2021	68%
M.ans	20:05:04 Nov 26, 2021	76%
M.ans	19:48:53 Nov 26, 2021	61%
Fahad	19:42:20 Nov 26, 2021	41%
Hassnain	08:21:58 Oct 11, 2021	71%
Faisal	02:18:40 Aug 18, 2021	30%
Faisal Attari	02:27:23 Jun 03, 2021	82%
Faisal Attari	02:21:24 Jun 03, 2021	64%
Faisal	02:15:45 Jun 03, 2021	53%
Faisal Attari	02:11:36 Jun 03, 2021	35%
Faisal Attari	04:25:37 May 12, 2021	79%
Faisal Attari	04:11:44 May 12, 2021	66%
Faisal Attari	04:06:18 May 12, 2021	51%
Faisal Attari	22:23:38 May 11, 2021	33%

Math Solution 9th Class (Science Group)

Chapter 01 - MATRICES AND DETERMINANTS

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

Chapter 02 - REAL AND COMPLEX NUMBERS

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

Chapter 03 - LOGARITHMS

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

Chapter 04 - ALGEBRIC EXPRESSIONS & ALGEBRIC FORMULAS

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

Chapter 05 - FACTORIZATION

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

Chapter 06 - ALGEBRAIC MANIPULATION

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

Chapter 07 - LINEAR EQUATIONS AND INEQUALITIES

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

Chapter 08 - LINEAR GRAPHS & THEIR APPLICATION

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

Chapter 09 - INTRODUCTION TO COORDINATE GEOMETRY

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

Chapter 10 - CONGRUENT TRIANGLES

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

Chapter 11 - PARALLELOGRAMS AND TRIANGLES

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

Chapter 12 - LINE BISECTORS AND ANGLE BISECTORS

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

Chapter 13 - SIDES AND ANGLES OF A TRIANGLE

Exercise 13.1 (English) (Urdu)

Exercise 13.2 (English) (Urdu)

Exercise 13-Rev (English) (Urdu)

Online Practice/ Test - MCQs & Short Questions

Chapter 14 - RATIO AND PROPORTION

Exercise 14.1 (English) (Urdu)

Exercise 14.2 (English) (Urdu)

Exercise 14-Rev (English) (Urdu)

Online Practice/ Test - MCQs & Short Questions

Chapter 15 - PYTHAGORAS’ THEOREM

Exercise 15 (English) (Urdu)

Exercise 15-Rev (English) (Urdu)

Online Practice/ Test - MCQs & Short Questions

Chapter 16 - THEOREMS RELATED WITH AREA

Exercise 16.1 (English) (Urdu)

Exercise 16.2 (English) (Urdu)

Exercise 16-Rev (English) (Urdu)

Online Practice/ Test - MCQs & Short Questions

Chapter 17 - PRACTICAL GEOMETRY -TRIANGLES

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

Math Past Papers

Math Text Books

9th Math Science Group (English Medium)

9th Math Science Group (Urdu Medium)

9th Math Arts Group (Urdu Medium)

Other Math Notes

10th Class Math Science Group (English Medium)

10th Class Math Science Group (Urdu Medium)

10th Math Past Papers (Science Group)

10th Math Past Papers (Arts Group)

9th Class Math Science Group (English Medium)

9th Class Math Science Group (Urdu Medium)

9th Class Math Arts Group (Urdu Medium)

9th Class Math Past Papers (Science Group)

9th Class Math Past Papers (Arts Group)

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, 9^th class math notes, Math notes for class 9, math notes class 9 pdf, class 9 math notes pdf, math class 9 notes Punjab board, 9^th class math solution pdf free download, key book of mathematics 9^th 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, 9^th class math notes chapter 1, 9^th 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.

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