9th Class Math Notes Chapter-01

9th Class Math MCQs Chapter-01

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Matrices and Determinants:

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Class 9 Math MCQs Chapter-01:

MCQs from Text Book Exercise and others included in this Practice panel. By practicing again and again, Student can get good practice on this topic “Matrices and Determinants” i.e. 9th Class Math MCQs Chapter-01.

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1 / 38

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

2 / 38

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

3 / 38

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

4 / 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}

5 / 38

Inverse of a Matrix A is equal to ________

6 / 38

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

7 / 38

[ 5 ] is a matrix with order ______

8 / 38

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

9 / 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}

10 / 38

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

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

Which is order of a square matrix?

13 / 38

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

14 / 38

An Identity Matrix (Unity Matrix) is always a _____

15 / 38

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

 

16 / 38

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

17 / 38

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

18 / 38

(AB)ˉ¹ = ______

19 / 38

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

20 / 38

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

21 / 38

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

22 / 38

The order of a matrix [ 1   2 ] is _____

23 / 38

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

24 / 38

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

25 / 38

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

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

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

28 / 38

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

29 / 38

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

30 / 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}

31 / 38

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

32 / 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}

33 / 38

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

34 / 38

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

35 / 38

Two Materices A and B are confirmable for multiplication if ______

36 / 38

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

37 / 38

Matrix A + B can be found, if ________________

38 / 38

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

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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)

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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)

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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)

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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)

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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)

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Exercise 6.1           (English)            (Urdu)

Exercise 6.2           (English)            (Urdu)

Exercise 6.3           (English)            (Urdu)

Exercise 6-Rev      (English)            (Urdu)

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Exercise 7.1           (English)            (Urdu)

Exercise 7.2           (English)            (Urdu)

Exercise 7.3           (English)            (Urdu)

Exercise 7-Rev      (English)            (Urdu)

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Exercise 8.1           (English)            (Urdu)

Exercise 8.2           (English)            (Urdu)

Exercise 8.3           (English)            (Urdu)

Exercise 8-Rev      (English)            (Urdu)

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Exercise 9.1           (English)            (Urdu)

Exercise 9.2           (English)            (Urdu)

Exercise 9.3           (English)            (Urdu)

Exercise 9-Rev      (English)            (Urdu)

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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)

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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)

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Exercise 12.1           (English)            (Urdu)

Exercise 12.2           (English)            (Urdu)

Exercise 12.3           (English)            (Urdu)

Exercise 12-Rev      (English)            (Urdu)

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Exercise 13.1           (English)            (Urdu)

Exercise 13.2           (English)            (Urdu)

Exercise 13-Rev      (English)            (Urdu)

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Exercise 14.1           (English)            (Urdu)

Exercise 14.2           (English)            (Urdu)

Exercise 14-Rev      (English)            (Urdu)

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Exercise 15           (English)            (Urdu)

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Exercise 16.1           (English)            (Urdu)

Exercise 16.2           (English)            (Urdu)

Exercise 16-Rev      (English)            (Urdu)

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Exercise 17.1           (English)            (Urdu)

Exercise 17.2           (English)            (Urdu)

Exercise 17.3           (English)            (Urdu)

Exercise 17.4           (English)            (Urdu)

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9th Class Math Solution:

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Class 9 Mathematics  Chapter-Wise MCQs

Category: 09th Math Startup

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Math Ch#14, 9th Class

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1 / 12

If adjacent angles of two intersecting lines are congruent then lines are ____ to each other.

2 / 12

______ altitudes of equilateral triangle are congruent.

3 / 12

In two similar triangles, ______ sides are proportional

4 / 12

Symbol to show similarity is used ________

5 / 12

One and only one line can be drawn through _____ points.

6 / 12

The line segment has only ___ point of bisection

7 / 12

The ratio between two quantities “a and b” is expressed as _______

8 / 12

______  points can be determine a line.

9 / 12

Unit of ratio is __________

10 / 12

If a : b=c : d then a, b, c and d are said to be in _____

11 / 12

Equality of _____ ratio is defined as proportion.

12 / 12

________ has no unit.

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Math Ch#1, 09th Class

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Welcome

You Should Enter your Name

1 / 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}

2 / 38

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

 

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.

4 / 38

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

5 / 38

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

6 / 38

An Identity Matrix (Unity Matrix) is always a _____

7 / 38

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

8 / 38

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

9 / 38

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

10 / 38

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

11 / 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}

12 / 38

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

13 / 38

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

14 / 38

Inverse of a Matrix A is equal to ________

15 / 38

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

16 / 38

[ 5 ] is a matrix with order ______

17 / 38

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

18 / 38

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

19 / 38

Matrix A + B can be found, if ________________

20 / 38

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

21 / 38

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

22 / 38

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

23 / 38

(AB)ˉ¹ = ______

24 / 38

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

25 / 38

Which is order of a square matrix?

26 / 38

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

27 / 38

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

28 / 38

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

29 / 38

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

30 / 38

Two Materices A and B are confirmable for multiplication if ______

31 / 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}

32 / 38

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

33 / 38

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

34 / 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}

35 / 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}

36 / 38

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

37 / 38

The order of a matrix [ 1   2 ] is _____

38 / 38

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

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1 / 14

For Common Logarithm the base is _________

2 / 14

The Integral part of the common logarithm of a number is called the __________

3 / 14

The logarithm of unity to any base is __________

4 / 14

Log p - Log q is same as __________

  •  Log (\frac{p}{q})

  • Log ( p - q )

  • \frac{Log p}{Log q}

  • Log q - Log p

Select Correct Option

5 / 14

Log_{b}a  x  Log_{c}b  can be written as ______

  • Log_{a}c
  • Log_{c}a
  • Log_{a}b
  • Log_{b}c

which Option is Correct?

6 / 14

The Relation y = log_{z}x implies

  • x^{y} = z
  • z^{y} = x
  • x^{z} = y
  • y^{z} = x

Select Correct Option

 

7 / 14

The logarithm of any number to itself as base is ____________

8 / 14

Log_{y}x will be equal to ______________

  • \frac{Log_{z}x}{^{Log_{y}Z}}
  • \frac{Log_{x}Z}{^{Log_{y}Z}}
  • \frac{Log_{z}x}{^{Log_{z}y}}
  • \frac{Log_{z}y}{^{Log_{z}X}}

Select Correct Option

9 / 14

if a^{x} = n then

  • a = log_{x}n
  • x = log_{n}a
  • x = log_{a}n
  • a = log_{n}x

Select One Option

10 / 14

the value of log (\frac{p}{q}) is

11 / 14

Log( m^{n}) can be written as____

  • (Log m)^{n}
  • m Log n
  • n Log m
  • Log (mn)

Select Correct Option

12 / 14

The Decimal part of the common Logarithm of a number is called ________

13 / 14

if        x=log y

then y is called the ________ of x

14 / 14

log e = __________

where e ≈ 2.718

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Math Ch#4, 09th Class

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1 / 15

\frac{1}{2-\sqrt{3}} = ...............

  • 2 - \sqrt{3}
  • 2 + \sqrt{3}
  • -2 - \sqrt{3}
  • -2 + \sqrt{3}

(Select Correct Option)

2 / 15

x²-4 =  ___________

3 / 15

\frac{a^{^{2}}-b^{2}}{a+b} is equal to __________

4 / 15

2 (a^{2}+b^{2}) = (a+b)^{2} + (.............)^{^{2}}

5 / 15

x^{3}+\frac{1}{x^{3}} = \left ( x+\frac{1}{x} \right ) (_____________)

  • x^{2}-1+\frac{1}{x^{2}}
  • x^{2}+1+\frac{1}{x^{2}}
  • x^{2}-1-\frac{1}{x^{2}}
  • x^{2}+1-\frac{1}{x^{2}}

(Select Correct Option)

6 / 15

The degree of polynomial 4x^{4}+ 2x^{2}y  is ___________

7 / 15

a^{3} + b^{3}   is equal to  ____________

 

8 / 15

"4x +3y -2" is an algebraic _____________

9 / 15

Conjugate of surd   a + \sqrt{b}    is _________

  • -a + \sqrt{b}
  • a - \sqrt{b}
  • \sqrt{a} + \sqrt{b}
  • \sqrt{a} - \sqrt{b}

(Select Correct Option)

10 / 15

Order of Surd \sqrt[3]{x} is ________

11 / 15

\frac{1}{a-b}-\frac{1}{a+b} is equal to ______

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

(Select Correct Option)

12 / 15

(\sqrt{a}+\sqrt{b}) (\sqrt{a}-\sqrt{b}) is equal to __________

  • a^{2}+b^{2}
  • a^{2}-b^{2}
  • a-b
  • a+b

(Select Correct Option)

13 / 15

The Degree of polynomial x^{2}y^{2} + 3 x y +y^{3} is _________

14 / 15

(3 + \sqrt{2}) (3 - \sqrt{2}) is equal to __________

15 / 15

(x+\frac{1}{x})^{2} = ................

  • x^{2}+\frac{1}{x^{2}}+2
  • x^{2}-\frac{1}{x^{2}}+2
  • x^{2}+\frac{1}{x^{2}}-2

(Select Correct Option)

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