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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Math Ch#1, 09th Class

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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

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

The order of a matrix [ 1   2 ] is _____

4 / 38

(AB)ˉ¹ = ______

5 / 38

Matrix A + B can be found, if ________________

6 / 38

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

7 / 38

Which is order of a square matrix?

8 / 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}

9 / 38

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

10 / 38

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

11 / 38

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

12 / 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}

13 / 38

An Identity Matrix (Unity Matrix) is always a _____

14 / 38

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

15 / 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}

16 / 38

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

17 / 38

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

18 / 38

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

 

19 / 38

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

20 / 38

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

21 / 38

[ 5 ] is a matrix with order ______

22 / 38

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

23 / 38

Inverse of a Matrix A is equal to ________

24 / 38

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

25 / 38

Two Materices A and B are confirmable for multiplication if ______

26 / 38

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

27 / 38

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

28 / 38

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

29 / 38

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

30 / 38

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

31 / 38

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

32 / 38

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

33 / 38

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

34 / 38

Product of \begin{bmatrix} x & 4 \end{bmatrix}\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

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}

38 / 38

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

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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 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 10.1           (English)            (Urdu)

Exercise 10.2           (English)            (Urdu)

Exercise 10.3           (English)            (Urdu)

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Exercise 11.2           (English)            (Urdu)

Exercise 11.3           (English)            (Urdu)

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Exercise 12.1           (English)            (Urdu)

Exercise 12.2           (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#08, 09th Class

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1 / 29

Cartesian plan is divided into ____ Quadrant

2 / 29

the plan formed by two straight lines perpendicular to each other, these lines are called ______

3 / 29

The point (0, 5) lies on _______

4 / 29

The line of the equation x=3 is parallel to _______

5 / 29

Graph of the equation x=a is a ________ line

6 / 29

If ordered pair (x, y) is in 4th quadrant then ______

7 / 29

If ordered pair (x, y) is in 2nd quadrant then ______

8 / 29

If “A” and “B” are any two sets then their cartesian product is denoted by ______

9 / 29

In equation y=mx+c, if x=0 then line is parallel to __________

10 / 29

A n-ordered associated with a point in 2-dimensional plane is called _____

11 / 29

If a, b, and c are the side of right-angle triangle and c is hypotenuse then according to the Pythagoras theorem _________

12 / 29

In Cartesian coordinate plane, the point (3, -4) is located in ________

13 / 29

The graph of the equation y=b is a line and at a distance of b unit from _______ points on x-axis

14 / 29

In ordered pair (a, b), b Is called _______

15 / 29

The angle between two coordinate axis is _________

16 / 29

For equation 2x+y=6, order pair _____ is the solution of equation.

17 / 29

In two-dimensional plan, the horizontal line is called ______

18 / 29

In ordered pair (a, b), a is called as ________

19 / 29

Pythagoras is a _____ mathematician.

20 / 29

In Cartesian plan, the point (2,0) lies on _______

21 / 29

In two-dimensional plan, the vertical line is called ______

22 / 29

In a right-angle triangle, larger angle measures as _______

23 / 29

The point (5, 0) lies on ______

24 / 29

n the equation M=f(k), which statement is true?

25 / 29

the plan formed by two straight lines perpendicular to each other, this plan is called _______

26 / 29

The point of intersection of two coordinate axis is called _______

27 / 29

If the equation y=mx, y-coordinate of every point is ____ times of x-coordinate.

28 / 29

According to Pythagoras theorem (altitude)2 = ________

29 / 29

If ordered pair (x, y) is in 1st quadrant then ______

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1 / 15

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

2 / 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)

3 / 15

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

4 / 15

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

5 / 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)

6 / 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)

7 / 15

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

8 / 15

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

9 / 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)

10 / 15

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

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

(Select Correct Option)

11 / 15

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

12 / 15

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

13 / 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)

14 / 15

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

 

15 / 15

x²-4 =  ___________

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1 / 15

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

2 / 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)

3 / 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)

4 / 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}

5 / 15

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

6 / 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)

7 / 15

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

  • b^{2}
  • 2b
  • ab

(Select Correct Option)

8 / 15

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

9 / 15

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

10 / 15

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

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

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

13 / 15

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

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

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

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1 / 16

The bisectors of the angle of triangle are ______

2 / 16

Medians of a triangle are ________

3 / 16

_____ congruent triangles can be made by joining, the mid-point of the sides of a triangle.

4 / 16

If two medians of a triangle are congruent then the triangle will be _______

5 / 16

The right bisectors of triangle are ________

6 / 16

If a point is equidistant from the end point of a line segment, then it must lie on its ____

7 / 16

The right bisector of the sides of ______ triangle intersect each other inside the triangle.

8 / 16

If three points lie on the same line, then these points are called _________

9 / 16

The right bisectors of the sides of ____ triangle intersect each other the triangle.

10 / 16

The medians of a triangle are _______

11 / 16

The point of concurrency of three perpendicular bisector of triangle is called _____

12 / 16

____ congruent triangles can be made by joining the midpoint of the sides of a triangle.

13 / 16

Median of a triangle divide it into _____ triangle of equal area.

14 / 16

All three altitudes of _____ are concurrent.

15 / 16

A triangle having two sides congruent is called ________

16 / 16

The point of concurrency of the three altitudes of a triangle is called ________

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