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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Math Ch#1, 09th Class

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1 / 38

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

2 / 38

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

3 / 38

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

4 / 38

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

 

5 / 38

Matrix A + B can be found, if ________________

6 / 38

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

7 / 38

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

8 / 38

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

9 / 38

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

10 / 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.

11 / 38

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

12 / 38

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

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

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

15 / 38

[ 5 ] is a matrix with order ______

16 / 38

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

17 / 38

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

18 / 38

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

19 / 38

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

20 / 38

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

21 / 38

(AB)ˉ¹ = ______

22 / 38

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

23 / 38

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

24 / 38

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

25 / 38

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

26 / 38

Inverse of a Matrix A is equal to ________

27 / 38

An Identity Matrix (Unity Matrix) is always a _____

28 / 38

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

29 / 38

The order of a matrix [ 1   2 ] is _____

30 / 38

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

31 / 38

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

32 / 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}

33 / 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}

34 / 38

Two Materices A and B are confirmable for multiplication if ______

35 / 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}

36 / 38

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

37 / 38

Which is order of a square matrix?

38 / 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}

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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:

We know, the importance of mathematics study in every class is important for students, such like students of 9th Class & 10th Class or other classes. If we talk Matric Classes Student of Science Classes or Arts classes, Math is equally important for both Classes.

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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

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

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

Select Correct Option

2 / 14

The logarithm of unity to any base is __________

3 / 14

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

4 / 14

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

5 / 14

For Common Logarithm the base is _________

6 / 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?

7 / 14

log e = __________

where e ≈ 2.718

8 / 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

9 / 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

10 / 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

11 / 14

The Relation y = log_{z}x implies

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

Select Correct Option

 

12 / 14

if        x=log y

then y is called the ________ of x

13 / 14

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

14 / 14

The logarithm of any number to itself as base is ____________

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Math Ch#4, 09th Class

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1 / 15

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

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

\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)

4 / 15

x²-4 =  ___________

5 / 15

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

6 / 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)

7 / 15

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

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

(Select Correct Option)

8 / 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)

9 / 15

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

10 / 15

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

11 / 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)

12 / 15

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

 

13 / 15

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

14 / 15

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

15 / 15

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

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Math Ch#2, 09th Class

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1 / 15

A non-terminating, non-recurring decimal represents ____________

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

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}}

4 / 15

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

5 / 15

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

6 / 15

The conjugate of 5+4ι is ____________

7 / 15

Every Real number is _______

8 / 15

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

9 / 15

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

10 / 15

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

11 / 15

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

12 / 15

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

13 / 15

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

14 / 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)

15 / 15

the value of \iota ^9 is ________

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Math Ch#10, 9th Class

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1 / 13

A tringle has _____ elements.

2 / 13

The sum of internal angle of any triangle is always_____

3 / 13

Two line can intersect at ___ point only

4 / 13

Two parallel lines can intersect each other at ___

5 / 13

In ______ triangle, bisector of any one of its angles divided the triangle into congruent triangle.

6 / 13

The symbol used for perpendicular is ________

7 / 13

The number of acute angles in an acute angled triangle is _____

8 / 13

The symbol used for angle is ________

9 / 13

If two angles of a triangle are ______then triangle is right angled triangle.

10 / 13

Congruent triangles are having ____ size and shape

11 / 13

In a right-angle isosceles triangle, each base angle is _____

12 / 13

A ray has ____ end point.

13 / 13

In a triangle, there can be only ____ right angle.

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