Relations and Functions MCQ Questions for Class 11 Maths Chapter 2 with Answers

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We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 11 Mathematics book Chapter 2 Relations and Functions with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam taking the help of the Class 11 Maths Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Relations and Functions. Each Questions has four options followed by the right answer. Download the Maths Quiz Questions with Answers for Class 11 free Pdf and prepare to exam and help students understand the concept very well.

MCQ Questions for Class 11 Mathematics Chapter wise with Answers

Q1. If the function f : R → R be given by f(x) = x² + 2 and g : R → R is given by g(x) = x/(x – 1). The value of gof(x) is

(i) (x² + 2)/(x² + 1)
(ii) x²/(x² + 1)
(iii) x²/(x² + 2)
(iv) none of these

(i) (x² + 2)/(x² + 1)

Q2. Two functions f and g are said to be equal if f

(i) the domain of f = the domain of g
(ii) the co-domain of f = the co-domain of g
(iii) f(x) = g(x) for all x
(iv) all of above

(iv) all of above

Q3. If A is the null set and B is an infinite set, then what is A×B ?

(i) Infinite set
(ii) f
(iii) Undefined
(iv) A singleton set

(iii) Undefined

Q4. Let A={1,2,3,4,5} and R be a relation from A to A, R = {(x, y): y = x + 1}. Find the domain.

(i) {1,2,3,4,5}
(ii) {2,3,4,5}
(iii) {1,2,3,4}
(iv) {1,2,3,4,5,6}

(i) {1,2,3,4,5}

Q5. Given g(1) = 1 and g(2) = 3. If g(x) is described by the formula g(x) = ax + b, then the value of a and b is

(i) 2, 1
(ii) -2, 1
(iii) 2, -1
(iv) -2, -1

(iii) 2, -1

Q6. A function f(x) is said to be an odd function if

(i) f(-x) = f(x)
(ii) f(-x) = -f(x)
(iii) f(-x) = k * f(x) where k is a constant
(iv) None of these

(ii) f(-x) = -f(x)

Q7. If A = {1, 2, 3}, B = {1, 2} and C = {2, 3}, which one of the following is correct ?

(i) (A´B)Ç(B´A) = (A´C)Ç(B´C)
(ii) (A´B)Ç(B´A) = (C´A)Ç(C´B)
(iii) (A´B)È(B´A) = (A´B)È(B´C)
(iv) (A´B)È(B´A) = (A´B)È(A´C)

(iii) (A´B)È(B´A) = (A´B)È(B´C)

Q8. If set A has 2 elements and set B has 4 elements then how many relations are possible?

(i) 32
(ii) 128
(iii) 256
(iv) 64

(iv) 64

Q9. Let f : R → R be a function given by f(x) = x² + 1 then the value of f-1 (26) is

(i) 5
(ii) -5
(iii) ±5
(iv) None of these

(iii) ±5

Q10. The function f(x) = sin (‎πx/2) + cos (πx/2) is periodic with period

(i) 4
(ii) 6
(iii) 12
(iv) 24

(i) 4

Q11. If A × B = { (5, 5), (5, 6), (5, 7), (8, 6), (8, 7), (8, 5)},then the value A.

(i) {5}
(ii) {8}
(iii) {5, 8}
(iv) {5, 6, 7, 8}

(iii) {5, 8}

Q12. If A={1,4,8,9} and B={1, 2, -1, -2, -3, 3,5} and R is a relation from set A to set B {(x, y): x=y²}. Find range of the relation.

(i) {1,4,9}
(ii) {-1,1, -2,2, -3,3}
(iii) {1,4,8,9}
(iv) {-1,1, -2,2, -3,3,5}

(ii) {-1,1, -2,2, -3,3}

Q13. the function f(x) = x – [x] has period of

(i) 0
(ii) 1
(iii) 2
(iv) 3

(ii) 1

Q14. If f(x) =(3x – 2)/(2x – 3) then the value of f(f(x)) is

(i) x
(ii) x²
(iii) x³
(iv) None of these

(i) x

Q15. Let n(i) = m, and n(ii) = n. Then the total number of non-empty relations that can be defined from A to B is

(i) mn
(ii) nm – 1
(iii) mn – 1
(iv) 2mn – 1

(iv) 2mn –1

Q16. Let f : R – R be a function defined by f(x) = cos(5x + 2), then f is

(i) injective
(ii) surjective
(iii) bijective
(iv) None of these

(iv) None of these

Q17. Let R be the set of real numbers. If f(x) = x² and g(x) = 2x + 1, then fog(x) is equal to

(i) 2x + 1
(ii) 2x² + 1
(iii) (2x + 1)²
(iv) None of these

(ii) 2x² + 1

Q18. Let R = {(2, 3), (3, 4)} be relation defined on the set of natural numbers. The minimum number of ordered pairs required to be added in R so that enlarged relation becomes an equivalence relation is :

(i) 3
(ii) 5
(iii) 7
(iv) 9

(iv) 9

Q19. A relation R is defined from the set of integers to the set of real numbers as (x, y) = R if x² + y² = 16 then the domain of R is

(i) (0, 4, 4)
(ii) (0, -4, 4)
(iii) (0, -4, -4)
(iv) None of these

(ii) (0, -4, 4)

Q20. The number of binary operations on the set {a, b} are

(i) 2
(ii) 4
(iii) 8
(iv) 16

(iv) 16

Q21. If A is the set of even natural numbers less than 8 and B is the set of prime numbers less than 7,then the number of relations from A to B is

(i) 29
(ii) 92
(iii) 32
(iv) 29 – 1

(i) 29

Q22. The domain of the function f (x) = 1/(2 – cos 3x) is

(i) (1/3, 1)
(ii) [1/3, 1)
(iii) (1/3, 1]
(iv) R

(iv) R

Q23. If f is an even function and g is an odd function the fog is a/an

(i) Even function
(ii) Odd function
(iii) Either even or odd function
(iv) Neither even nor odd function

(i) Even function

Q24. The range of the function
f(x) = √(x -1)(3 – x) is :

(i) [– 1, 1]
(ii) (– 1, 1)
(iii) (– 3, 3)
(iv) (– 3, 1)

(i) [– 1, 1]

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MCQ Questions for Class 11 Mathematics Chapter wise with Answers

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