MCQs Questions for Class 12 Maths Chapter 1 Relations and Functions

# MCQs Questions for Class 12 Maths Chapter 1 Relations and Functions

MCQs Questions for Class 12 Maths Chapter 1 Relations and Functions

In this 21st century, Multiple Choice Questions (MCQs) play a major role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns.

In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should more focus on the MCQ questions. Thus, let’s solve these MCQs Questions to make our foundation very strong.

In this post, you will find 20 MCQs questions for class 12 maths chapter 1 relations and functions.

MCQs Questions for Class 12 Maths Chapter 1 Relations and Functions

1. Which of these is not a type of relation?
(a) Reflexive
(b) Surjective
(c) Transitive
(d) Symmetric

2. The function f : A → B defined by f(x) = 4x + 7, x R is
(a) one-one
(b) many-one
(c) even
(d) odd

3. What type of a relation is R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} on the set A = {1, 2, 3, 4}?
(a) Reflexive
(b) Symmetric
(c) Transitive
(d) None of these

4. The smallest integer function f(x) = [x] is
(a) One-one
(b) Many-one
(c) Both (a) and (b)
(d) None of these

5. The number of bijective functions from set A to A, when A contains 106 elements, is
(a) 106!
(b) (106)2
(c) 106
(d) 2106

6. Which of the following relations is symmetric but neither reflexive nor transitive for a set A = {1, 2, 3}?
(a) R = {(1, 2), (1, 3), (1, 4)}
(b) R = {(1, 2), (2, 1)}
(c) R = {(1, 1), (2, 2), (3, 3)}
(d) R = {(1, 1), (1, 2), (2, 3)}

7. If an operation * is defined by a* b = a² + b², then the value of (1 * 2) * 6 is equal to
(a) 12
(b) 28
(c) 61
(d) None of these
c

8. If f : R → R and g : R → R are defined by f(x) = 2x + 3 and g(x) = x2 + 7, then the value of x for which f(g(x)) = 25, is
(a) ±1
(b) ±2
(c) ±3
(d) ±4

9. If f : R → R, g : R → R and h : R → R are such that f(x) = x2, g(x) = tan x and h(x) = log x, then the value of (go(foh)) (x), if x = 1, is
(a) 0
(b) 1
(c) -1
(d) Ï€

10. Which of the following relations is transitive but not reflexive for the set A = {3, 4, 6}?
(a) R = {(3, 4), (4, 6), (3, 6)}
(b) R = {(1, 2), (1, 3), (1, 4)}
(c) R = {(3, 3), (4, 4), (6, 6)}
(d) R = {(3, 4), (4, 3)}

11. Which type of function the following figure represents?

(a) one-one

(b) many-one
(c) onto
(d) neither one-one nor onto

12. Consider the binary operation * which is defined by x * y = 1 + 12x + xy, x, y Q, then 2 * 3 is equal to
(a) 43
(b) 40
(c) 31
(d) None of these

13. The number of binary operations that can be defined on a set of 2 elements is
(a) 8
(b) 4
(c) 16
(d) 64

14. Let A = N × N and * be the binary operation on A defined by (a, b) * (c, d) = (a + c, b + d). Then * is
(a) commutative
(b) associative
(c) Both (a) and (b)
(d) None of these

15.  Let the set M = {7, 8, 9}. Determine which of the following functions is invertible for f : M → M.
(a) f = {(7, 7), (8, 8), (9, 9)}
(b) f = {(7, 8), (7, 9), (8, 9)}
(c) f = {(8, 8), (8, 7), (9, 8)}
(d) f = {(9, 7), (9, 8), (9, 9)}

16. Let the sets E = {1, 2, 3, 4} and F = {1, 2}. Then, the number of onto functions from E to F is
(a) 16
(b) 14
(c) 12
(d) 8

17. The maximum number of equivalence relations on the set A = {1, 2, 3} are
(a) 1
(b) 2
(c) 3
(d) 5

18. The binary operation * defined on N by a * b = a + b + ab, for all a, b N is
(a) commutative only
(b) associative only
(c) both commutative and associative
(d) none of these

19. Let the set A = {1, 2}. How many binary operations can be defined on this set?
(a) 8
(b) 10
(c) 16
(d) 20