Algebraic Manipulation

9th Class Math MCQs Chapter-06

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Algebraic Manipulation:

If you are searching the topic “9th Class Math Solution” & “9th Class Math MCQs Chapter-06” for matric classes then, you are on the right place, because we are providing the Quality material for education of Students and their problems.

Class 9 Math MCQs Chapter-06:

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 “Algebraic Manipulation” i.e. 9th Class Math MCQs Chapter-06. Best of Luck.

 

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1 / 17

L.C.M of 15x^2 , 45xy , 30xyz is __________

  1. 90xyz
  2. 90x^2yz
  3. 15xyz
  4. 15x^2yz

(Choose Correct Option)

2 / 17

H.C.F of a^2 - b^2  and a^3 - b^3  is ________

  1. a -b
  2. a+b
  3. a^2 + ab+ b^2
  4. a^2 - ab+b^2

(Choose Correct Option)

3 / 17

The product of two Algebraic expressions is equal to the ______ of their H.C.F and L.C.M

4 / 17

Simplify \frac{a^3-b^3}{a^4-b^4} \div \frac{a^2+ab+b^2}{a^2+b^2} = ________

  • \frac{1}{a+b}
  • \frac{1}{a-b}
  • \frac{a-b}{a^2+b^2}
  • \frac{a+b}{a^2+b^2}

(Which option is Correct)

5 / 17

L.C.M of a^2+b^2 and a^4 - b^4 is _________

  1. a^2+b^2
  2. a^2-b^2
  3. a^4-b^4
  4. a-b

(Choose Correct Option)

6 / 17

the Square Root of a^2 - 2a + 1 is __________

7 / 17

H.C.F of a^{3}+b^{3} and a^{2}-ab+b^{2} is ________

  1. a+b
  2. a^{2}-ab+b^{2}
  3. (a-b)^2
  4. a^2+b^2

(Chose Correct Option)

8 / 17

Simplify \frac{a}{9a^2 - b^2} + \frac{1}{3a-b} = __________

  1. \frac{4a}{9a^2-b^2}
  2. \frac{4a-b}{9a^2-b^2}
  3. \frac{4a+b}{9a^2-b^2}
  4. \frac{b}{9a^2-b^2}

(Choose Correct Option)

9 / 17

H.C.F of x-2 and x^{2}+x-6 is ___________

  1. x^{2}+x-6
  2. x+3
  3. x-2
  4. x+2

(Chose Correct Option)

10 / 17

H.C.F of 5x^{2} and 20 x^{3} y^{3} is ____________

  • 5x^{2}y^{2}
  • 20x^{3}y^{3}
  • 100x^{5}y^{5}
  • 5xy

(Select Correct Option)

11 / 17

What should be added to complete the square of x^4 + 64 _____

  • 8x^2
  • -8x^2
  • 16x^2
  • 4x^2

Select Correct Option

12 / 17

H.C.F of x^2 - 5x+6 and x^2 - x-6 is _______

13 / 17

H.C.F of x^2 +3x+2 , x^2+4x+3 and x^2+5x+4 is __________

14 / 17

The Square Root of x^4 + \frac{1}{x^4}+2 is ___________

  • \pm \left ( x + \frac{1}{x} \right )
  • \pm \left ( x^2 + \frac{1}{x^2} \right )
  • \pm \left ( x - \frac{1}{x} \right )
  • \pm \left ( x^2 - \frac{1}{x^2} \right )

Select Correct Option

15 / 17

Simplify \left ( \frac{2x+1}{x+y}-1 \right )\div \left ( 1-\frac{x}{x-y} \right ) = __________

  • \frac{x}{x+y}
  • \frac{y}{x+y}
  • \frac{y}{x}
  • \frac{x}{y}

Which Option is Correct

16 / 17

H. C. F of  ( p^{3}q-pq^{3} ) and ( p^{5}q^{2}-p^{2}q^{5} ) is ___________

  • pq(p^{2}-q^{2})
  • pq(p-q)
  • p^{2}q^{2} (p-q)
  • pq(p^{3}-q^{3})

(Select Correct Option)

17 / 17

Simplify \frac{a^2 +5a-14}{a^2 - 3a-18} \times \frac{a+3}{a-2} = _________

  • \frac{a+7}{a-6}
  • \frac{a+7}{a-2}
  • \frac{a+3}{a-6}
  • \frac{a-2}{a+3}

(Choose Correct Option)

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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. Every Student of 9th & 10th Class is trying to search the topic like “9th Class math solution pdf”, 10th Class Math Solution PDF”, 9th Class Math MCQs Chapter-06, 9th Class Math Notes Chapter-06, Class 9 Math MCQs Chapter-06.  

Class 9 Mathematics  Chapter-Wise MCQs

Category: 09th Math Startup

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Math Ch#1, 09th Class

Here MCQs for your Revision

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1 / 38

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

2 / 38

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

3 / 38

(AB)ˉ¹ = ______

4 / 38

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

5 / 38

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

6 / 38

Two Materices A and B are confirmable for multiplication if ______

7 / 38

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

8 / 38

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

9 / 38

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

10 / 38

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

11 / 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}

12 / 38

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

 

13 / 38

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

14 / 38

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

15 / 38

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

16 / 38

Matrix A + B can be found, if ________________

17 / 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}

18 / 38

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

19 / 38

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

20 / 38

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

21 / 38

Inverse of a Matrix A is equal to ________

22 / 38

[ 5 ] is a matrix with order ______

23 / 38

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

24 / 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}

25 / 38

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

26 / 38

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

27 / 38

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

28 / 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}

29 / 38

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

30 / 38

The order of a matrix [ 1   2 ] is _____

31 / 38

An Identity Matrix (Unity Matrix) is always a _____

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

Which is order of a square matrix?

34 / 38

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

35 / 38

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

36 / 38

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

37 / 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.

38 / 38

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

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Math Ch#7, 09th Class

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1 / 6

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

2 / 6

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

3 / 6

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

4 / 6

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

5 / 6

x = 0 is a solution of the inequality ___________

6 / 6

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

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Math Ch#6, 09th Class

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1 / 17

H.C.F of x-2 and x^{2}+x-6 is ___________

  1. x^{2}+x-6
  2. x+3
  3. x-2
  4. x+2

(Chose Correct Option)

2 / 17

H.C.F of x^2 - 5x+6 and x^2 - x-6 is _______

3 / 17

Simplify \frac{a^2 +5a-14}{a^2 - 3a-18} \times \frac{a+3}{a-2} = _________

  • \frac{a+7}{a-6}
  • \frac{a+7}{a-2}
  • \frac{a+3}{a-6}
  • \frac{a-2}{a+3}

(Choose Correct Option)

4 / 17

H.C.F of a^{3}+b^{3} and a^{2}-ab+b^{2} is ________

  1. a+b
  2. a^{2}-ab+b^{2}
  3. (a-b)^2
  4. a^2+b^2

(Chose Correct Option)

5 / 17

Simplify \frac{a^3-b^3}{a^4-b^4} \div \frac{a^2+ab+b^2}{a^2+b^2} = ________

  • \frac{1}{a+b}
  • \frac{1}{a-b}
  • \frac{a-b}{a^2+b^2}
  • \frac{a+b}{a^2+b^2}

(Which option is Correct)

6 / 17

What should be added to complete the square of x^4 + 64 _____

  • 8x^2
  • -8x^2
  • 16x^2
  • 4x^2

Select Correct Option

7 / 17

H.C.F of 5x^{2} and 20 x^{3} y^{3} is ____________

  • 5x^{2}y^{2}
  • 20x^{3}y^{3}
  • 100x^{5}y^{5}
  • 5xy

(Select Correct Option)

8 / 17

the Square Root of a^2 - 2a + 1 is __________

9 / 17

H.C.F of a^2 - b^2  and a^3 - b^3  is ________

  1. a -b
  2. a+b
  3. a^2 + ab+ b^2
  4. a^2 - ab+b^2

(Choose Correct Option)

10 / 17

H. C. F of  ( p^{3}q-pq^{3} ) and ( p^{5}q^{2}-p^{2}q^{5} ) is ___________

  • pq(p^{2}-q^{2})
  • pq(p-q)
  • p^{2}q^{2} (p-q)
  • pq(p^{3}-q^{3})

(Select Correct Option)

11 / 17

L.C.M of 15x^2 , 45xy , 30xyz is __________

  1. 90xyz
  2. 90x^2yz
  3. 15xyz
  4. 15x^2yz

(Choose Correct Option)

12 / 17

The Square Root of x^4 + \frac{1}{x^4}+2 is ___________

  • \pm \left ( x + \frac{1}{x} \right )
  • \pm \left ( x^2 + \frac{1}{x^2} \right )
  • \pm \left ( x - \frac{1}{x} \right )
  • \pm \left ( x^2 - \frac{1}{x^2} \right )

Select Correct Option

13 / 17

H.C.F of x^2 +3x+2 , x^2+4x+3 and x^2+5x+4 is __________

14 / 17

The product of two Algebraic expressions is equal to the ______ of their H.C.F and L.C.M

15 / 17

Simplify \left ( \frac{2x+1}{x+y}-1 \right )\div \left ( 1-\frac{x}{x-y} \right ) = __________

  • \frac{x}{x+y}
  • \frac{y}{x+y}
  • \frac{y}{x}
  • \frac{x}{y}

Which Option is Correct

16 / 17

L.C.M of a^2+b^2 and a^4 - b^4 is _________

  1. a^2+b^2
  2. a^2-b^2
  3. a^4-b^4
  4. a-b

(Choose Correct Option)

17 / 17

Simplify \frac{a}{9a^2 - b^2} + \frac{1}{3a-b} = __________

  1. \frac{4a}{9a^2-b^2}
  2. \frac{4a-b}{9a^2-b^2}
  3. \frac{4a+b}{9a^2-b^2}
  4. \frac{b}{9a^2-b^2}

(Choose Correct Option)

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1 / 29

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

2 / 29

The point (5, 0) lies on ______

3 / 29

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

4 / 29

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

5 / 29

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

6 / 29

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

7 / 29

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

8 / 29

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

9 / 29

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

10 / 29

Graph of the equation x=a is a ________ line

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

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

13 / 29

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

14 / 29

According to Pythagoras theorem (altitude)2 = ________

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

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

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

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Cartesian plan is divided into ____ Quadrant

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

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The angle between two coordinate axis is _________

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The point (0, 5) lies on _______

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

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

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

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

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

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Pythagoras is a _____ mathematician.

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

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The point of intersection of two coordinate axis is called _______

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