9th Class Math MCQs Chapter-01

Matrices and Determinants:

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Class 9 Math MCQs Chapter-01:

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Math Ch#1, 09th Class

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1 / 38

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

2 / 38

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

 

3 / 38

Two Materices A and B are confirmable for multiplication if ______

4 / 38

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

5 / 38

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

6 / 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}

7 / 38

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

8 / 38

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

9 / 38

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

10 / 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}

11 / 38

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

12 / 38

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

13 / 38

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

14 / 38

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

15 / 38

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

16 / 38

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

17 / 38

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

18 / 38

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

19 / 38

Inverse of a Matrix A is equal to ________

20 / 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.

21 / 38

Matrix A + B can be found, if ________________

22 / 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}

23 / 38

(AB)ˉ¹ = ______

24 / 38

Which is order of a square matrix?

25 / 38

[ 5 ] is a matrix with order ______

26 / 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}

27 / 38

The order of a matrix [ 1   2 ] is _____

28 / 38

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

29 / 38

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

30 / 38

An Identity Matrix (Unity Matrix) is always a _____

31 / 38

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

32 / 38

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

33 / 38

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

34 / 38

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

35 / 38

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

36 / 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}

37 / 38

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

38 / 38

If \begin{vmatrix} 3 & -1\\ 0 & x \end{vmatrix}  = 3, then x 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)


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)


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Exercise 8.1           (English)            (Urdu)


Exercise 8.2           (English)            (Urdu)


Exercise 8.3           (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 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)


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Exercise 12.1           (English)            (Urdu)


Exercise 12.2           (English)            (Urdu)


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Exercise 13.1           (English)            (Urdu)


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Exercise 14.1           (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#14, 9th Class

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1 / 12

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

2 / 12

______  points can be determine a line.

3 / 12

Unit of ratio is __________

4 / 12

Symbol to show similarity is used ________

5 / 12

The line segment has only ___ point of bisection

6 / 12

Equality of _____ ratio is defined as proportion.

7 / 12

______ altitudes of equilateral triangle are congruent.

8 / 12

In two similar triangles, ______ sides are proportional

9 / 12

________ has no unit.

10 / 12

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

11 / 12

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

12 / 12

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

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Math Ch#13, 9th Class

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1 / 16

From a point outside a line, the perpendicular is the ________ distance from the point to that line.

2 / 16

Any point on the ________ of line segment is equidistant from its end point.

3 / 16

Measure of one side of an equilateral triangle is 6cm. length of its median is ______ 9cm.

4 / 16

Similar triangles are also called __________

5 / 16

In any right triangle, a side opposite to right angel is called _________

6 / 16

In any right triangle, one greatest angle is must be ___________

7 / 16

If hypotenuse of an isosceles right triangle is √2cm, then each of other side is of length ______

8 / 16

If a line segment intersects the two sides of a triangle in the same ration than it is _______ to the 3rd side.

9 / 16

If a, b, c are 3 sides of right triangle with “c” as longer side , then _______

10 / 16

A line is Perpendicular to a line, if an angle between these 2 lines is ________

11 / 16

Symbol used for similarity is _________

12 / 16

The sum of the length of any sides two of a triangle is _____ the length of the third side.

13 / 16

Congruent triangles are, must be same size and also __________ shape.

14 / 16

How many lines can be drawn through two points?

15 / 16

The ________ of sides of the triangle is concurrent.

16 / 16

Similar triangles are of same shape and can ______ size.

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Math Ch#5, 09th Class

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1 / 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)

2 / 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)

3 / 15

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

4 / 15

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

5 / 15

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

6 / 15

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

7 / 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)

8 / 15

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

9 / 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}

10 / 15

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

11 / 15

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

12 / 15

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

13 / 15

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

  • b^{2}
  • 2b
  • ab

(Select Correct Option)

14 / 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)

15 / 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)

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Math Ch#3, 09th Class

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1 / 14

if        x=log y

then y is called the ________ of x

2 / 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

3 / 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

4 / 14

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

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

if a^{x} = n then

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

Select One Option

7 / 14

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

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

Select Correct Option

8 / 14

The logarithm of any number to itself as base is ____________

9 / 14

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

10 / 14

The logarithm of unity to any base is __________

11 / 14

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

12 / 14

For Common Logarithm the base is _________

13 / 14

The Relation y = log_{z}x implies

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

Select Correct Option

 

14 / 14

log e = __________

where e ≈ 2.718

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