Partial Fraction:

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10th Class Math MCQs Chapter-04

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1 / 19

Partial Fractions of $\frac{1}{(x-1)^{2}(x-2)}$ are in the form of __________ (Select Correct Option)

$\frac{Ax+C}{(x-1)^2}+\frac{C}{(x-2)}$
$\frac{A}{x-1}+\frac{B}{(x-1)^{2}}+\frac{C}{x-2}$
$\frac{Ax+B}{x^2+2x+4}$
$\frac{A}{(x-1)^2}+\frac{B}{(x-2)}$

Option-II

Option-I

Option-III

Option-IV

2 / 19

Partial Fractions of $\frac{x^3-2x^2-2}{(x^2+1)^{2}}$ are of the form ___________ (Select One Option)

$\frac{Ax+B}{x^2+1}+ \frac{Cx^2+D}{(x^2+1)^{2}}$
$\frac{Ax+B}{x^2+1}+ \frac{Cx+D}{(x^2+1)^{2}}$
$\frac{Ax+B}{x^2+1}+ \frac{Cx+D}{(x^2+1)^{}}$
$\frac{Ax+B}{x^2+1}+ \frac{Cx}{(x^2+1)^{2}}$

Option-II

Option-I

Option-III

Option-IV

3 / 19

$(x+3)^{2} = x^2+6x+9$ is ____________

an equation

a linear equation

an identity

none of these

4 / 19

Resolution of fraction into fractions depends upon the factors of _____

None of these

Denominator of fraction

Both Numerator and Denominator

Numerator of fraction

5 / 19

A fraction in which the degree of the numerator is greater or equal to the degree of denominator is called ______

a proper fraction

an improper fraction

algebraic relation

an equation

6 / 19

$\frac{2x+1}{(x+1)(x-1)}$ is ___________

none of these

a proper fraction

an improper fraction

an equation

7 / 19

Partial Fractions of $\frac{2x+5}{(x+1)(x^2+2)^2}$ are of the form _________ (Select Correct Option)

$\frac{A}{x+1}+\frac{Bx+C}{x^2+2}+\frac{Dx+E}{(x^2+2)^{2}}$
$\frac{A}{x+1}+\frac{Bx+C}{x^2+2}$
$\frac{Bx+C}{x^2+2}+\frac{Dx+E}{(x^2+2)^{2}}$
$\frac{A}{x+1}+\frac{B}{x^2+2}+\frac{Cx+D}{(x^2+2)^{2}}$

Option-II

Option-III

Option-IV

Option-I

8 / 19

a fraction in which the degree of numerator is less then the degree of the denominator is called __________

an identity

an equation

a proper fraction

an improper fraction

9 / 19

A function of the form $f(x) = \frac{N(x)}{D(x)'}$ with D (x) = 0, where N (x) and D(x) are polynomials in x is called ______

a fraction

an identity

none of these

an equation

10 / 19

The Quotient of two numbers or algebraic expression is called a _____

none of these

fraction

rational

proportional

11 / 19

Partial Fractions of $\frac{x+2}{(x+1)(x^2+2)}$ are of the form of _____________ (Select Correct Option)

$\frac{A}{(x+1)}+\frac{B}{(x^2+2)}$
$\frac{A}{(x+1)}+\frac{Bx+C}{(x^2+2)}$
$\frac{Ax+B}{(x+1)}+\frac{C}{(x^2+2)}$
$\frac{A}{(x+1)}+\frac{Bx}{(x^2+2)}$

Option-I

Option-III

Option-IV

Option-II

12 / 19

The identity $(5x+4)^{^{2}} = 25x^2 +40x+16$ is ture for _________

one value of x

none of these

all values of x

two values of x

13 / 19

Partial fractions of $\frac{(x-2)}{(x-1)(x+2)}$ are the form of __________ (Select Correct Option)

$\frac{A}{(x-1)}+\frac{B}{(x+2)}$
$\frac{Ax}{(x-1)}+\frac{B}{(x+2)}$
$\frac{A}{(x-1)}+\frac{Bx+C}{(x+2)}$
$\frac{Ax+B}{(x-1)}+\frac{C}{(x+2)}$

Option-II

Option-IV

Option-I

Option-III

14 / 19

An _______ equation is a type of equation, which is satisfied by all the values of variable involved in given equation.

proper

None of these

Identity

Improper

15 / 19

Partial Fractions of $\frac{x^2+1}{(x+1)(x-1)}$ are of the from of ________ (Select Correct Option)

$\frac{A}{(x+1)}+\frac{B}{(x-1)}$
$1+\frac{A}{(x+1)}+\frac{Bx+C}{(x-1)}$
$1+\frac{A}{(x+1)}+\frac{B}{(x-1)}$
$\frac{Ax+B}{(x+1)}+\frac{C}{(x-1)}$

Option-III

Option-I

Option-II

Option-IV

16 / 19

A fraction with degree of numerator less then degree of denominator is called _____ fraction

Improper

Equation

Proper

Identity

17 / 19

A fraction in which the degree of the numerator is greater or equal to the degree of denominator is called ______

an improper fraction

algebraic relation

a proper fraction

an equation

18 / 19

Partial Fractions of $\frac{1}{(x-1)^{2}(x-2)}$ are of the form ___________ (Select Correct Option)

$\frac{A}{x-1}+\frac{Bx+C}{(x-1)^{2}}+\frac{D}{x-2}$
$\frac{A}{x-1}+\frac{B}{x-1^{}}+\frac{C}{x-2}$
$\frac{A}{x-1}+\frac{B}{(x-1)^{2}}+\frac{C}{x-2}$
$\frac{Ax+B}{(x-1)^{2}}+\frac{C}{x-2}$

Option-I

Option-IV

Option-III

Option-II

19 / 19

$\frac{x^3+1}{(x-1)(x+2)}$ is _________________

an identity

a proper fraction

a constant term

an improper fraction

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Math Solution 10th Class (Science Group)

Chapter 01 - QUADRATIC EQUATIONS

Exercise 1.1 (English) (Urdu)

Exercise 1.2 (English) (Urdu)

Exercise 1.3 (English) (Urdu)

Exercise 1.4 (English) (Urdu)

Ex 1-Misc (English) (Urdu)

Online Practice/ Test - MCQs & Short Questions

Chapter 02 - THEORY OF QUADRATIC EQUATIONS

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 2.7 (English) (Urdu)

Exercise 2.8 (English) (Urdu)

Ex 2-Misc (English) (Urdu)

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Chapter 03 - VARIATIONS

Exercise 3.1 (English) (Urdu)

Exercise 3.2 (English) (Urdu)

Exercise 3.3 (English) (Urdu)

Exercise 3.4 (English) (Urdu)

Exercise 3.5 (English) (Urdu)

Exercise 3.6 (English) (Urdu)

Exercise 3.7 (English) (Urdu)

Ex 3-Misc (English) (Urdu)

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Chapter 04 - PARTIAL FRACTIONS

Exercise 4.1 (English) (Urdu)

Exercise 4.2 (English) (Urdu)

Exercise 4.3 (English) (Urdu)

Exercise 4.4 (English) (Urdu)

Ex 4-Misc (English) (Urdu)

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Chapter 05 - SETS AND FUNCTIONS

Exercise 5.1 (English) (Urdu)

Exercise 5.2 (English) (Urdu)

Exercise 5.3 (English) (Urdu)

Exercise 5.4 (English) (Urdu)

Exercise 5.5 (English) (Urdu)

Ex 5-Misc (English) (Urdu)

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Chapter 06 - BASIC STATISTICS

Exercise 6.1 (English) (Urdu)

Exercise 6.2 (English) (Urdu)

Exercise 6.3 (English) (Urdu)

Ex 6-Misc (English) (Urdu)

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Chapter 07 - INTRODUCTION TO TRIGONOMETRY

Exercise 7.1 (English) (Urdu)

Exercise 7.2 (English) (Urdu)

Exercise 7.3 (English) (Urdu)

Exercise 7.4 (English) (Urdu)

Exercise 7.5 (English) (Urdu)

Ex 7-Misc (English) (Urdu)

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Chapter 08 - PROJECTION OF A SIDE OF A TRIANGLE

Exercise 8.1 (English) (Urdu)

Exercise 8.2 (English) (Urdu)

Ex 8-Misc (English) (Urdu)

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Chapter 09 - CHORDS OF A CIRCLE

Exercise 9.1 (English) (Urdu)

Exercise 9.2 (English) (Urdu)

Ex 9-Misc (English) (Urdu)

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Chapter 10 - TANGENT TO A CIRCLE

Exercise 10.1 (English) (Urdu)

Exercise 10.2 (English) (Urdu)

Exercise 10.3 (English) (Urdu)

Ex 10-Misc (English) (Urdu)

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Chapter 11 - CHORDS AND ARCS

Exercise 11.1 (English) (Urdu)

Ex 11-Misc (English) (Urdu)

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Chapter 12 - ANGLE IN A SEGMENT OF A CIRCLE

Exercise 12.1 (English) (Urdu)

Ex 12-Misc (English) (Urdu)

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Chapter 13 - PRACTICAL GEOMETRY - CIRCLES

Exercise 13.1 (English) (Urdu)

Exercise 13.2 (English) (Urdu)

Exercise 13.3 (English) (Urdu)

Ex 13-Misc (English) (Urdu)

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10th Class Math Science Group (English Medium)

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10th Math Past Papers (Science Group)

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9th Class Math Science Group (English Medium)

9th Class Math Science Group (Urdu Medium)

9th Class Math Arts Group (Urdu Medium)

9th Class Math Past Papers (Science Group)

9th Class Math Past Papers (Arts Group)

10th Class Math Solution:

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