9th Class Math Notes Chapter-06

9th Class Math MCQs Chapter-06

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Algebraic Manipulation:

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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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Math Ch#6, 09th Class

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1 / 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

2 / 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

3 / 17

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

4 / 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)

5 / 17

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

6 / 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)

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

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

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

(Choose Correct Option)

9 / 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)

10 / 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)

11 / 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)

12 / 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)

13 / 17

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

14 / 17

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

  • 8x^2
  • -8x^2
  • 16x^2
  • 4x^2

Select Correct Option

15 / 17

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

16 / 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)

17 / 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)

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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)

Online Practice/ Test - MCQs & Short Questions

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)

Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)

Exercise 14.2           (English)            (Urdu)

Exercise 14-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)

Exercise 15-Rev   (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)

Exercise 16.2           (English)            (Urdu)

Exercise 16-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

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)

Online Practice/ Test - MCQs & Short Questions

9th Math Science Group (English Medium)

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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#4, 09th Class

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1 / 15

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

2 / 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)

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

(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)

5 / 15

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

6 / 15

x²-4 =  ___________

7 / 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)

8 / 15

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

 

9 / 15

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

10 / 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)

11 / 15

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

12 / 15

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

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

(Select Correct Option)

13 / 15

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

14 / 15

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

15 / 15

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

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Math Ch#16, 9th Class

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Welcome

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1 / 17

The unit of area is _____________

2 / 17

Congruent figures are ____ in area.

3 / 17

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

4 / 17

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

5 / 17

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

6 / 17

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

7 / 17

Area of a triangular region can be calculated as __________

8 / 17

A quadrilateral having each angle 90 degree is called _____

9 / 17

Any diagonal of a parallelogram divides it in two _____ triangles

10 / 17

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

11 / 17

Area of _______ is equal to = Base x Altitude

12 / 17

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

13 / 17

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

14 / 17

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

15 / 17

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

16 / 17

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

17 / 17

Perpendicular distance between two parallel lines is _______ different.

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Math Ch#3, 09th Class

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Welcome

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1 / 14

The logarithm of any number to itself as base is ____________

2 / 14

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

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

Select Correct Option

3 / 14

The logarithm of unity to any base is __________

4 / 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

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

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

7 / 14

log e = __________

where e ≈ 2.718

8 / 14

For Common Logarithm the base is _________

9 / 14

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

10 / 14

if        x=log y

then y is called the ________ of x

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 a^{x} = n then

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

Select One Option

13 / 14

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

14 / 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

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Math Ch#5, 09th Class

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1 / 15

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

2 / 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)

3 / 15

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

4 / 15

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

5 / 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)

6 / 15

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

7 / 15

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

8 / 15

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

9 / 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)

10 / 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)

11 / 15

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

12 / 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)

13 / 15

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

14 / 15

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

  • b^{2}
  • 2b
  • ab

(Select Correct Option)

15 / 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}

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