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:

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1 / 38

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

2 / 38

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

3 / 38

The order of a matrix [ 1   2 ] 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

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

6 / 38

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

7 / 38

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

8 / 38

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

9 / 38

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

10 / 38

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

 

11 / 38

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

12 / 38

An Identity Matrix (Unity Matrix) is always a _____

13 / 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}

14 / 38

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

15 / 38

[ 5 ] is a matrix with order ______

16 / 38

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

17 / 38

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

18 / 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}

19 / 38

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

20 / 38

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

21 / 38

Two Materices A and B are confirmable for multiplication if ______

22 / 38

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

23 / 38

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

24 / 38

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

25 / 38

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

26 / 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.

27 / 38

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

28 / 38

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

29 / 38

Matrix A + B can be found, if ________________

30 / 38

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

31 / 38

Inverse of a Matrix A is equal to ________

32 / 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}

33 / 38

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

34 / 38

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

35 / 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}

36 / 38

Which is order of a square matrix?

37 / 38

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

38 / 38

(AB)ˉ¹ = ______

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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)

Exercise 15-Rev   (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)

Exercise 17.5           (English)            (Urdu)

Exercise 17-Rev      (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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1 / 15

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

2 / 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)

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

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

5 / 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}

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

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

8 / 15

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

  • b^{2}
  • 2b
  • ab

(Select Correct Option)

9 / 15

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

10 / 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)

11 / 15

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

12 / 15

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

13 / 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)

14 / 15

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

15 / 15

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

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1 / 18

If the bisector of any angle of a triangle bisects side opposite to it, then the triangle is _______

2 / 18

The right bisector of the sides of a ___________triangle, intersect each other on the hypotenuse.

3 / 18

Any point inside an ____ equidistant from its arms is on the bisector of it.

4 / 18

If diagonals of a quadrilateral divide the figure in four congruent triable then the quadrilateral is  ____

5 / 18

Right bisector of any _________ means to draw perpendicular which passes through the midpoint of a line segment.

6 / 18

Right bisection of three sides of triangle are _______

7 / 18

In an acute angled triangle, _______ angles are less than 90 degree.

8 / 18

Bisection of an angle means to draw a ray to divide the given angle into ____ equal parts.

9 / 18

Tight bisectors of sides of an obtuse angles triangle meet _______

10 / 18

Sum of interior angles of a quadrilateral is ________

11 / 18

A line segment has _____ midpoint

12 / 18

Bisection means to divided the parallelogram into _______ triangles.

13 / 18

In any triangle, bisectors of _____ are concurrent (Similar)

14 / 18

The distance between a line and a point on same line is _________

15 / 18

In any triangle, ______ of angles are concurrent.

16 / 18

Angle bisector of triangle are _______Concurrent

17 / 18

How many mid points a line segment has?

18 / 18

The circumcenter is used to _____ about a triangle.

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1 / 17

Perpendicular distance between two parallel lines is _______ different.

2 / 17

Area of a triangular region can be calculated as __________

3 / 17

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

4 / 17

Any diagonal of a parallelogram divides it in two _____ triangles

5 / 17

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

6 / 17

The unit of area is _____________

7 / 17

Area of _______ is equal to = Base x Altitude

8 / 17

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

9 / 17

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

10 / 17

A quadrilateral having each angle 90 degree is called _____

11 / 17

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

12 / 17

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

13 / 17

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

14 / 17

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

15 / 17

Congruent figures are ____ in area.

16 / 17

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

17 / 17

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

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1 / 6

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

2 / 6

x = 0 is a solution of the inequality ___________

3 / 6

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

4 / 6

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

5 / 6

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

6 / 6

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

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