Matrices and Determinants

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

The order of a matrix [ 1   2 ] is _____

2 / 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}

3 / 38

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

4 / 38

Two Materices A and B are confirmable for multiplication if ______

5 / 38

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

6 / 38

(AB)ˉ¹ = ______

7 / 38

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

8 / 38

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

9 / 38

Which is order of a square matrix?

10 / 38

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

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

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

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 matrix is called a square matrix if its order is _____

15 / 38

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

16 / 38

[ 5 ] is a matrix with order ______

17 / 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}

18 / 38

An Identity Matrix (Unity Matrix) is always a _____

19 / 38

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

20 / 38

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

 

21 / 38

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

22 / 38

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

23 / 38

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

24 / 38

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

25 / 38

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

26 / 38

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

27 / 38

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

28 / 38

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

29 / 38

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

30 / 38

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

31 / 38

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

32 / 38

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

33 / 38

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

34 / 38

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

35 / 38

Inverse of a Matrix A is equal to ________

36 / 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}

37 / 38

Matrix A + B can be found, if ________________

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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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)

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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)

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Exercise 2-Rev      (English)            (Urdu)

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Exercise 3.1           (English)            (Urdu)

Exercise 3.2           (English)            (Urdu)

Exercise 3.3           (English)            (Urdu)

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Exercise 4.1           (English)            (Urdu)

Exercise 4.2           (English)            (Urdu)

Exercise 4.3           (English)            (Urdu)

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Exercise 4-Rev      (English)            (Urdu)

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Exercise 5.1           (English)            (Urdu)

Exercise 5.2           (English)            (Urdu)

Exercise 5.3           (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)

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Exercise 9.1           (English)            (Urdu)

Exercise 9.2           (English)            (Urdu)

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Exercise 10.2           (English)            (Urdu)

Exercise 10.3           (English)            (Urdu)

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Exercise 11.1           (English)            (Urdu)

Exercise 11.2           (English)            (Urdu)

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Exercise 12.1           (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#2, 09th Class

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1 / 15

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

2 / 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}

3 / 15

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

4 / 15

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

5 / 15

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

6 / 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}}

7 / 15

A non-terminating, non-recurring decimal represents ____________

8 / 15

The conjugate of 5+4ι is ____________

9 / 15

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

10 / 15

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

11 / 15

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

12 / 15

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

13 / 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)

14 / 15

the value of \iota ^9 is ________

15 / 15

Every Real number is _______

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1 / 6

A Statement involving any of the symbols <, >, ≤, ≥ is called _________

2 / 6

x = ________ is a  solution of the inequality -2 < x < \frac{3}{2}

3 / 6

x = 0 is a solution of the inequality ___________

4 / 6

if the capacity c of an elevator is at most 1600 ponds, then ___________ (Which statement is true)

5 / 6

Which of the following is the solution of inequality 3-4x \leqslant 11 ?

6 / 6

if x is no larger than 10, then _____(Which statement is true)

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Math Ch#6, 09th Class

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1 / 17

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

2 / 17

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

3 / 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

4 / 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)

5 / 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)

6 / 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)

7 / 17

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

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

(Choose Correct Option)

8 / 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

9 / 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)

10 / 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)

11 / 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)

12 / 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)

13 / 17

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

14 / 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)

15 / 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)

16 / 17

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

17 / 17

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

  • 8x^2
  • -8x^2
  • 16x^2
  • 4x^2

Select Correct Option

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Math Ch#5, 09th Class

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1 / 15

if x-2 is factor of    p(x) = x^{2}+2kx+8    , then k = _______

2 / 15

____________ =  \frac{x^{2}}{y^{2}}-2+\frac{y^{2}}{x^{2}}

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

3 / 15

(x+y)(x^{2}-xy+y^{2}) = ................

  • (x^{3}-y^{3})
  • (x^{3}+y^{3})
  • (x+y)^{3}
  • (x-y)^{3}

(Select Correct Option)

4 / 15

The Factors of x^{2} - 5x + 6 are_________

5 / 15

Factored form of x^{2}-16 is ___________

6 / 15

4a^{2}-16 can be factorize as __________

7 / 15

Factors of 3x^{2}-x-2 are __________

8 / 15

What will be added to complete the square of 9a^{2}-12ab _______

  • -16b^{2}
  • 16b^{2}
  • 4b^{2}
  • -4b^{2}

(Which Option is Correct)

9 / 15

x^{2}+5x+6  can factorize as _____________

10 / 15

4a^{2}+4ab+(...........) is a complete square

  • b^{2}
  • 2b
  • ab

(Select Correct Option)

11 / 15

Factors of 27x^{2}-\frac{1}{x^{3}}  are ____________

  • \left ( 3x-\frac{1}{x} \right )\left ( 9x^{2}+3+\frac{1}{x^{2}} \right )
  • \left ( 3x+\frac{1}{x} \right )\left ( 9x^{2}+3+\frac{1}{x^{2}} \right )
  • \left ( 3x-\frac{1}{x} \right )\left ( 9x^{2}-3+\frac{1}{x^{2}} \right )
  • \left ( 3x+\frac{1}{x} \right )\left ( 9x^{2}-3+\frac{1}{x^{2}} \right )

(Select Correct Option)

12 / 15

Factors of 8x^{3} +27y^{3} are ___________

  • (2x+3y), (4x^{2}+9y^{2})
  • (2x-3y), (4x^{2}-9y^{2})
  • (2x+3y), (4x^{2}-6xy+9y^{2})
  • (2x-3y), (4x^{2}+6xy+9y^{2})

(Select Correct Option)

13 / 15

Find m so that x^{2}+4x+m is a completed square_____

14 / 15

Factors of a^{4}-4b^{4} are _________

  • (a-b), (a+b), (a^{2}+4b^{2})
  • (a-b), (a+b), (a^{2}-4b^{2})
  • (a^{2}-2b^{2}), (a^{2}+2b^{2})
  • (a-2b), (a^{2}+2b^{2})

(Select Correct Option)

15 / 15

Factors of 5x^{2}-17xy-12y^{2} are _____

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