Mathematics Part1

Online MCQs about First Year Mathematics Part1 and Part2, Intermediate Mathematics Part1 multiple choice questions with answers

MCQs Partial Fractions Questions 2

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The post is about MCQS Partial Fractions Questions with Answers. There are 20 multiple-choice questions from Chapter 5 Partial Fractions Intermediate Mathematics Part 1. Let us start with the MCQs Partial Fractions Questions Quiz with Answers now.

Online MCQs Partial Fractions Questions with Answers

1. Partial fraction of $\frac{1}{x^2-1} =$

 
 
 
 

2. A quadratic factor which can not be written as a product of linear factors with real coefficients is called

 
 
 
 

3. Partial fraction of $\frac{1}{x(x+1)}$ are of the form

 
 
 
 

4. If $\frac{2x^2+x^2-x-3}{x(2x+3)(x-1)} = \frac{A}{x} + \frac{B}{2x+3} + \frac{C}{x-1} $ then $A$ is equal to

 
 
 
 

5. The function of the form $f(x) = \frac{p(x)}{q(x)}$ where $q(x)\ne 0$  and $p(x), q(x)$ are polynomials, is called

 
 
 
 

6. Types of rational fractions are

 
 
 
 

7. If $\frac{1}{(x+1)^2(x^2-1)} = \frac{A}{x-1} + \frac{B}{x+1} + \frac{C}{(x+1)^2} + \frac{D}{(x+1)^3}$ then $A=$

 
 
 
 

8. Partial fraction of $\frac{x^2+1}{x^3+1}$ will be of the form

 
 
 
 

9. Conditional equation $2x+3=0$ holds when $x$ is equal to

 
 
 
 

10. The partial fractions of $\frac{1}{(x+1)(x-1)}$ are

 
 
 
 

11. Number of partial fractions of the fraction $\frac{1}{x(x-1)^3$ are

 
 
 
 

12. An equation which holds good for all values of the variable is called

 
 
 
 

13. Expressing a rational function as a sum of partial fractions is called

 
 
 
 

14. If $\frac{x^2 – 10x + 13}{(x-1)(x^2-5x+6)} = \frac{A}{x-2} + \frac{B}{x-3} + \frac{C}{x-1}$ then $C$ is equal to

 
 
 
 

15. A conditional equation is also called

 
 
 
 

16. The quotient of two polynomials $\frac{P(x)}{Q(x)}, \,\,Q(x)\ne 0$ with no common factor is called

 
 
 
 

17. Which is ta reducible factor

 
 
 
 

18. Partial fractions of $\frac{x^2+1}{(x-1)(x+1)}$ are of the form

 
 
 
 

19. A fraction in which the degree of numerator is greater than or equal to the degree of denominator is called

 
 
 
 

20. An equation in which two algebraic expressions are equal for particular values of the variable is called

 
 
 
 

MCQs Partial Fractions Questions with Answers

  • If $\frac{x^2 – 10x + 13}{(x-1)(x^2-5x+6)} = \frac{A}{x-2} + \frac{B}{x-3} + \frac{C}{x-1}$ then $C$ is equal to
  • If $\frac{2x^2+x^2-x-3}{x(2x+3)(x-1)} = \frac{A}{x} + \frac{B}{2x+3} + \frac{C}{x-1} $ then $A$ is equal to
  • Partial fractions of $\frac{x^2+1}{(x-1)(x+1)}$ are of the form
  • If $\frac{1}{(x+1)^2(x^2-1)} = \frac{A}{x-1} + \frac{B}{x+1} + \frac{C}{(x+1)^2} + \frac{D}{(x+1)^3}$ then $A=$
  • A quadratic factor which can not be written as a product of linear factors with real coefficients is called
  • Which is ta reducible factor
  • Partial fraction of $\frac{1}{x^2-1} =$
  • Partial fraction of $\frac{x^2+1}{x^3+1}$ will be of the form
  • Number of partial fractions of the fraction $\frac{1}{x(x-1)^3$ are
  • Conditional equation $2x+3=0$ holds when $x$ is equal to
  • The quotient of two polynomials $\frac{P(x)}{Q(x)}, \,\,Q(x)\ne 0$ with no common factor is called
  • The partial fractions of $\frac{1}{(x+1)(x-1)}$ are
  • The function of the form $f(x) = \frac{p(x)}{q(x)}$ where $q(x)\ne 0$  and $p(x), q(x)$ are polynomials, is called
  • A fraction in which the degree of numerator is greater than or equal to the degree of denominator is called
  • Types of rational fractions are
  • A conditional equation is also called
  • An equation which holds good for all values of the variable is called
  • Expressing a rational function as a sum of partial fractions is called
  • An equation in which two algebraic expressions are equal for particular values of the variable is called
  • Partial fraction of $\frac{1}{x(x+1)}$ are of the form
Online MCQs Partial Fractions Questions with Answers

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Partial Fractions Quiz with Answers 1

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The post is about MCQS on Partial Fractions Quiz with Answers. There are 20 multiple-choice questions from Chapter 5 Intermediate Mathematics Part 1. Let us start with the Partial Fractions Quiz with Answers now.

Please go to Partial Fractions Quiz with Answers 1 to view the test

Online Partial Fractions Quiz with Answers

  • An open sentence formed by using the sign ‘=’ is called a/an
  • If an equation is true for all values of the variable then it is called
  • If an equation is true only for particular values of the variable then it is
  • $(x+3)(x+4) = x^2 + 7x + 12$ is a/an
  • $\sin^2 \theta + \cos^2 \theta$ is a/an
  • To express a single rational function as a sum of two or more single rational functions is called
  • When a single rational fraction is expressed as a sum of two or more single rational fractions, then each single fraction is called
  • The value of $a$ when $(a+b)^2 = a^2 + 2ab+b^2$ is an identity
  • $\begin{vmatrix}7x & 3x \ 2x^2 & p\end{vmatrix} = 7xp – 6x^3$ is a/an
  • The quotient of two polynomials $\frac{p(x)}{q(x)}, \,\, q(x) \ne 0$ is called
  • A fraction $\frac{p(x)}{q(x)}$ is a proper fraction if
  • a fraction $\frac{p(x)}{q(x)}$ is an improper rational fraction if
  • A mixed form of the fraction is
  • When a rational fraction is separated into partial fractions, the result is always
  • The partial fractions of $\frac{x^2 – 10x + 13}{(x+1)(x^2-5x+6)}$ are of the form
  • $\frac{x^2-5x+7}{(x-1)(x^2-1)} = \frac{A}{(x-1)} +$ ———–
  • The number of partial fraction of $\frac{x^3}{x(x+1)(x^2-1)}$ are
  • The number of partial fraction of $\frac{x^5}{x(x+1)(x^2-4)}$ are
  • The number of partial fraction of $\frac{x^4}{x^3-1}$ are
  • If $\frac{7x+25}{(x+3)(x+4)} = \frac{A}{x+3} + \frac{B}{x+4}$, then $B$ is equal to
Partial Fractions Quiz with Answers

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MCQs Partial Fractions Quiz 2025

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This post is about the MCQS Partial Fractions Quiz with Answers. It contains a list of quizzes on Partial Fractions, each containing 20 multiple-choice questions from Chapter 5 Intermediate Mathematics Part 1 (Punjab Board Text Book of Algebra and Trigonometry Class XI, Mathematics FSc Part 1 or HSSC-I). Click the link below for the MCQS Partial Fractions with Answers.

MCQs Partial Fractions Quiz with Answers

MCQs Partial Fraction Questions 2MCQs Partial Fraction Quiz 1
MCQs Partial Fractions Quiz with Answers

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Important MCQs Sets Functions and Groups Quiz 7

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Online MCQs Sets Functions and Groups from Chapter 2 of First-Year Mathematics. There are 20 multiple-choice questions from “Sets Functions and Groups”. Let us start with the MCQs Set Functions and Groups test.

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MCQs Sets Functions and Groups Quiz with Answers

  • If $S$ is a non-empty set, then the identity element in $P(S)$ w.r.t. $U$
  • If $S$ is a non-empty set, then the identity element in $P(S)$$ w.r.t. $\cap$
  • The set of non-zero real numbers w.r.t. multiplication is
  • Identity element in $(C, +)$ is
  • The identity element in (C, *) is
  • The set of first elements of ordered pairs in a relation is called its
  • If $A$ and $B$ are disjoint sets then
  • If $S=[1, 2, 3, 4, 5, 6]$ then $n(S)$ equals
  • If $A=\phi$ then $P(A)$ is
  • The graph of a linear function is
  • A system of linear equations involves at least ————– equations(s).
  • If $A \subseteq B$ then $A \cap B$ is equal to
  • If $A={1, 2, 3}$, B={3, 4}$, then $A-B$ is
  • The number of elements in a set $B$ is 4, then the number of elements in $P(B)$
  • The number of all subsets of a set having three elements is
  • A Set of all possible subsets of a set $S$ is called
  • A set of integers is a group w.r.t
  • $f$ is function from $A$ to $B$. The domain of $f$ is equal to
  • Every function is a
  • The inverse of any element of a group is
MCQs Sets Functions and Groups

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