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 is called a square matrix if its order is _____

2 / 38

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

3 / 38

Inverse of a Matrix A is equal to ________

4 / 38

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

5 / 38

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

6 / 38

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

7 / 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}

8 / 38

Two Materices A and B are confirmable for multiplication if ______

9 / 38

(AB)ˉ¹ = ______

10 / 38

An Identity Matrix (Unity Matrix) is always a _____

11 / 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}

12 / 38

The order of a matrix [ 1   2 ] is _____

13 / 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}

14 / 38

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

 

15 / 38

Which is order of a square matrix?

16 / 38

Matrix A + B can be found, if ________________

17 / 38

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

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

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

21 / 38

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

22 / 38

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

23 / 38

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

24 / 38

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

25 / 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}

26 / 38

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

27 / 38

[ 5 ] is a matrix with order ______

28 / 38

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

29 / 38

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

30 / 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.

31 / 38

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

32 / 38

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

33 / 38

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

34 / 38

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

35 / 38

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

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

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

38 / 38

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

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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)

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Exercise 16-Rev      (English)            (Urdu)

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Exercise 17.1           (English)            (Urdu)

Exercise 17.2           (English)            (Urdu)

Exercise 17.3           (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#3, 09th Class

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1 / 14

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

2 / 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

3 / 14

The Relation y = log_{z}x implies

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

Select Correct Option

 

4 / 14

The logarithm of unity to any base is __________

5 / 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

6 / 14

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

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

Select Correct Option

7 / 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

8 / 14

log e = __________

where e ≈ 2.718

9 / 14

if        x=log y

then y is called the ________ of x

10 / 14

For Common Logarithm the base is _________

11 / 14

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

12 / 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?

13 / 14

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

14 / 14

The logarithm of any number to itself as base is ____________

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1 / 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)

2 / 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)

3 / 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)

4 / 15

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

5 / 15

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

 

6 / 15

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

7 / 15

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

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

(Select Correct Option)

8 / 15

x²-4 =  ___________

9 / 15

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

10 / 15

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

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

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

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

(Select Correct Option)

13 / 15

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

14 / 15

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

15 / 15

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

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1 / 17

Altitude of any triangle is perpendicular distance from _____ to opposite side.

2 / 17

Parallelogram on equal and having the same / equal altitude are ____ in area.

3 / 17

The region enclosed by the bounding lines of a closed figure is called _______

4 / 17

A triangular region means the _____ of triangle and its interior.

5 / 17

Any diagonal of a parallelogram divides it in two _____ triangles

6 / 17

The _____ of a triangle is the part of the plane enclosed by the triangle.

7 / 17

Area of _______ is equal to = Base x Altitude

8 / 17

A quadrilateral having each angle 90 degree is called _____

9 / 17

Every diagonal of a parallelogram divides it in ____ congruent triangles.

10 / 17

Perpendicular from vertex of a angle to its opposite sides is called ______

11 / 17

Perpendicular distance between two parallel lines is _______ different.

12 / 17

If a and b are length and breadth of a rectangle then its area is _______

13 / 17

Area of a triangular region can be calculated as __________

14 / 17

A rectangular region can be divided in two or more rectangular region by ____ ways.

15 / 17

Congruent figures are ____ in area.

16 / 17

Area of parallelogram is equal to the ____ of the base and height.

17 / 17

The unit of area is _____________

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Math Ch#1, 09th Class

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1 / 38

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

2 / 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.

3 / 38

[ 5 ] is a matrix with order ______

4 / 38

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

5 / 38

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

6 / 38

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

7 / 38

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

8 / 38

Two Materices A and B are confirmable for multiplication if ______

9 / 38

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

10 / 38

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

11 / 38

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

12 / 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}

13 / 38

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

14 / 38

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

15 / 38

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

16 / 38

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

 

17 / 38

The order of a matrix [ 1   2 ] is _____

18 / 38

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

19 / 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}

20 / 38

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

21 / 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}

22 / 38

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

23 / 38

An Identity Matrix (Unity Matrix) is always a _____

24 / 38

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

25 / 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}

26 / 38

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

27 / 38

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

28 / 38

Which is order of a square matrix?

29 / 38

Matrix A + B can be found, if ________________

30 / 38

Inverse of a Matrix A is equal to ________

31 / 38

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

32 / 38

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

33 / 38

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

34 / 38

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

35 / 38

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

36 / 38

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

37 / 38

(AB)ˉ¹ = ______

38 / 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}

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