MCQs Partial Fractions Questions 2

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

 
 
 
 

2. A conditional equation is also called

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

7. 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

 
 
 
 

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

 
 
 
 

9. Which is ta reducible factor

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

13. 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

 
 
 
 

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

 
 
 
 

15. 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 $A=$

 
 
 
 

16. Types of rational fractions are

 
 
 
 

17. 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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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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