Below you will find **MCQ Questions of Chapter 2 Relations and Functions Class 11 Maths Free PDF Download** that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 11 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

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

1. The point on the curve y = x^{2} which is nearest to (3, 0) is

(a) (1, -1)

(b) (-1,1)

(c) (-1,-1)

(d) (1,1)

► (d) (1,1)

2. Let A = {1, 2, 3} then total number of element in A x A is

(a) 3

(b) 6

(c) 9

(d) 12

► (c) 9

3. The domain of the function f = {(1, 3), (3, 5), (2, 6)} is

(a) 1, 3 and 2

(b) {1, 3, 2}

(c) {3, 5, 6}

(d) 3, 5 and 6

► (b) {1, 3, 2}

4. Let S = {1, 2, 3}. The function f : S → S defined as below have inverse for

(a) f = {(1, 2), (2, 2), (3, 3)}

(b) f = {(1, 2), (2, 1), (3, 1)}

(c) f = {(1, 3), (3, 2), (2, 1)}

(d) f = {(1, 3), (2, 3), (2, 1)}

► (c) f = {(1, 3), (3, 2), (2, 1)}

5. If A = [a, b], B = [c,d], C = [d, e] then {(a, c), (a, d), (a,e), (b,c), (b, d), (b, e)} is equal to

(a) A∪(B∩C)

(b) A∩(B∪C)

(c) A×(B∩C)

(d) A×(B∪C)

► (d) A×(B∪C)

6. If f (0) = 0, f (1) = 1, f (2) = 2 and f (x) = f (x - 2) + f (x - 3) for x = 3, 4, 5,&.., then f(9) =

(a) 12

(b) 13

(c) 14

(d) 10

► (d) 10

7. The function (sin x/3) is periodic with period

(a) 2π

(b) 8π

(c) 4π

(d) 6π

► (d) 6π

8. If f(x) = x2 and g(x) = x are two functions from R to R then f(g(2)) is

(a) 4

(b) 8

(c) 1

(d) 2

► (b) 8

9. The function f : C → C defined by f (x) = ax + b/cx + d for x ∈ C where bd ≠ 0 reduces to a constant function if

(a) a = c

(b) b = d

(c) ad = bc

(d) ab = cd

► (c) ad = bc

10. If f (x) is a function such that f (x + y) = f (x) f (y) and f (3) = 125 then f (x) =

(a) 5

(b) x^{5}

(c) 5^{x}

(d) 5x

► (c) 5^{x}

11. The function f(x) = 10x from R to [0, ∞) is

(a) an identity function

(b) one-one and into

(c) a constant function

(d) one-one and onto

► (b) one-one and into

12. Greatest value of (1/x)^{x} is

(a) e

(b) (e)^{1/e}

(c) (1/e)^{e}

(d) 1/e

► (b) (e)^{1/e}

13. If f(x + y + z) = f(x) f(y) f(z) for all x , y z and if f(2) = 4, f’(0) = 5 and f(0) ≠ 0, then f’(2) is equal to

(a) ±30

(b) ±100

(c) ±80

(d) ±20

► (d) ±20

14. In the set W of whole numbers an equivalence relation R defined as follow : aRb iff both a and b leave same remainder when divided by 5. The equivalence class of 1 is given by

(a) {1, 6, 11, 16, ….}

(b) [0, 5, 10, 15,…}

(c) {2, 7, 12, 17…}

(d) {4, 9, 14, 19, …}

► (a) {1, 6, 11, 16, ….}

15. On the set Z of all integers define f ; Z → Z as follows : f (x) = x/2 if x is even, and f (x) = 0 if x is odd , then f is

(a) onto but not one-one

(b) into

(c) one-one but not onto

(d) one-one and onto

► (a) onto but not one-one

16. Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6) be a relation on the set A = {3, 6, 9, 12}. The relation is

(a) reflexive and symmetric only

(b) an equivalence relation

(c) reflexive only

(d) reflexive and transitive only

► (d) reflexive and transitive only

17. Let R be the relation in the set N given by R = {(a, b): a = b – 2, b > 6}. Choose the correct answer.

(a) (2, 4) ∈ R

(b) (3, 8) ∈ R

(c) (6, 8) ∈ R

(d) (8, 7) ∈ R

► (c) (6, 8) ∈ R

18. f: N → N : f(x) = 2x is

(a) one-one and onto

(b) many-one and into

(c) many-one and onto

(d) one-one and into

► (d) one-one and into

19. If f : N × N →N is such that f (m, n) = m + n where N is the set of natural number, then which of the following is true ?

(a) f is onto but not one-one

(b) f is one-one and onto

(c) f is on-one but not onto

(d) f is neither one-one nor onto

► (d) f is neither one-one nor onto

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

(a) the domain of f = the domain of g

(b) the co-domain of f = the co-domain of g

(c) f(x) = g(x) for all x

(d) all of the above

► (d) all of the above

21. If f(x) = log_{3} x and A = (3, 27) then f(A) =

(a) (1, 1)

(b) (3, 3)

(c) (1, 3)

(d) (2, 3)

► (b) (3, 3)

22. Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is

(a) 144

(b) 12

(c) 64

(d) 24

► (d) 24

Hope the given MCQ Questions will help you in cracking exams with good marks. These **Relations and Functions MCQ Questions** will help you in practising more and more questions in less time.