9th Class Math Notes Chapter-08

9th Class Math MCQs Chapter-08

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Linear Graphs & their Application:

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Class 9 Math MCQs Chapter-08:

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Math Ch#08, 09th Class

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1 / 29

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

2 / 29

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

3 / 29

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

4 / 29

According to Pythagoras theorem (altitude)2 = ________

5 / 29

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

6 / 29

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

7 / 29

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

8 / 29

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

9 / 29

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

10 / 29

The point of intersection of two coordinate axis is called _______

11 / 29

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

12 / 29

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

13 / 29

Cartesian plan is divided into ____ Quadrant

14 / 29

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

15 / 29

The point (5, 0) lies on ______

16 / 29

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

17 / 29

The point (0, 5) lies on _______

18 / 29

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

19 / 29

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

20 / 29

Pythagoras is a _____ mathematician.

21 / 29

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

22 / 29

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

23 / 29

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

24 / 29

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

25 / 29

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

26 / 29

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

27 / 29

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

28 / 29

Graph of the equation x=a is a ________ line

29 / 29

The angle between two coordinate axis is _________

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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)

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Exercise 16.1           (English)            (Urdu)

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Exercise 17.1           (English)            (Urdu)

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Exercise 17.3           (English)            (Urdu)

Exercise 17.4           (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#4, 09th Class

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1 / 15

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

2 / 15

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

3 / 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)

4 / 15

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

5 / 15

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

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

(Select Correct Option)

6 / 15

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

 

7 / 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)

8 / 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)

9 / 15

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

10 / 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)

11 / 15

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

12 / 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)

13 / 15

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

14 / 15

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

15 / 15

x²-4 =  ___________

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Math Ch#2, 09th Class

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Welcome

You Should Enter your Name

1 / 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)

2 / 15

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

3 / 15

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

4 / 15

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

5 / 15

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

6 / 15

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

7 / 15

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

8 / 15

The conjugate of 5+4ι is ____________

9 / 15

A non-terminating, non-recurring decimal represents ____________

10 / 15

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

11 / 15

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

12 / 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}

13 / 15

the value of \iota ^9 is ________

14 / 15

Every Real number is _______

15 / 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}}

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Math Ch#5, 09th Class

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1 / 15

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

2 / 15

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

3 / 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)

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

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

6 / 15

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

7 / 15

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

8 / 15

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

9 / 15

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

10 / 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)

11 / 15

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

12 / 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)

13 / 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)

14 / 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)

15 / 15

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

  • b^{2}
  • 2b
  • ab

(Select Correct Option)

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Math Ch#1, 09th Class

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Welcome

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1 / 38

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

2 / 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}

3 / 38

Two Materices A and B are confirmable for multiplication if ______

4 / 38

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

5 / 38

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

6 / 38

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

7 / 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}

8 / 38

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

9 / 38

Which is order of a square matrix?

10 / 38

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

11 / 38

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

12 / 38

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

13 / 38

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

14 / 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}

15 / 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.

16 / 38

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

17 / 38

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

18 / 38

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

19 / 38

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

20 / 38

Inverse of a Matrix A is equal to ________

21 / 38

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

 

22 / 38

The order of a matrix [ 1   2 ] is _____

23 / 38

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

24 / 38

(AB)ˉ¹ = ______

25 / 38

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

26 / 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}

27 / 38

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

28 / 38

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

29 / 38

Matrix A + B can be found, if ________________

30 / 38

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

31 / 38

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

32 / 38

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

33 / 38

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

34 / 38

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

35 / 38

[ 5 ] is a matrix with order ______

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

An Identity Matrix (Unity Matrix) is always a _____

38 / 38

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

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