NCERT MCQ CLASS-11 CHAPTER-2 | MATH NCERT MCQ | RELATIONS AND FUNCTIONS | EDUGROWN

In This Post we are  providing Chapter-2 Relations and Functions NCERT MCQ for Class 11 Math  which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS  can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.

NCERT MCQ ON RELATIONS AND FUNCTIONS

1. 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

Answer► (b) {1, 3, 2}

2. If n(A) = p and n(B) = q, then how many relations are there from A to B?

(a) pq(b) 3^pq(c) 2^pq(d) (pq)²

Answer► (c) 2^pq

3. 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, …}

Answer► (a) {1, 6, 11, 16, ….}

4. The point on the curve y = x² which is nearest to (3, 0) is

(a) (1, -1)(b) (-1,1)(c) (-1,-1)(d) (1,1)

Answer► (d) (1,1)

5. If f(x) is an odd differentiable function on R, then df(x)/dx is a/an

(a) Even function(b) Odd function(c) Either even or odd function(d) Neither even nor odd function

Answer► (a) Even function

6. 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)}

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

7. The function f(x) = x – [x] has period of

(a) 0(b) 1(c) 2(d) 3

Answer► (b) 1

8. 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

Answer► (d) 10

9. Let f (x) = x² and g (x) = √x, then

(a) (fog) (2) = 4(b) (gof) (- 2) = 2(c) (gof) (2) = 4(d) (fog) (3) = 6

Answer► (b) (gof) (- 2) = 2

10. 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)

Answer► (d) A×(B∪C)r

11. 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

Answer► (b) 8

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

(a) 2(b) 4(c) 8(d) 16

Answer► (d) 16

13. 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) x⁵(c) 5^x(d) 5x

Answer► (c) 5^x

14. 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

Answer► (c) ad = bc

15. If A = {1, 2, 3}, and B = {3, 6} then the number of relations from A to B is

(a) 3²(b) 2³(c) 2 x 3(d) 2⁶

Answer► (d) 2⁶