# Class 12 Maths Chapter 1 Relations and Functions MCQ with Answers

Check the below NCERT MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have provided Relations and Functions Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

## Q.1 Consider the binary operation * on a defined by x * y = 1 + 12x + xy, ∀ x, y ∈ Q, then 2 * 3 equals

(a) 31
(b) 40
(c) 43
(d) None of these

(a) 1
(b) 2
(c) 3
(d) 4

## Q.3 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

(a) 14
(b) 16
(c) 12
(d) 8

(a) 8
(b) 6
(c) 4
(d) 2

(a) 144
(b) 12
(c) 24
(d) 64

(a) (2, 4) ∈ R
(b) (3, 8) ∈ R
(c) (6, 8) ∈ R
(d) (8, 7) ∈ R

## Q.8 Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as aRb if a is congruent to b ∀ a, b ∈ T. Then R is

(a) reflexive but not transitive
(b) transitive but not symmetric
(c) equivalence
(d) None of these

## Q.9 Let us define a relation R in R as aRb if a ≥ b. Then R is

(a) an equivalence relation
(b) reflexive, transitive but not symmetric
(c) symmetric, transitive but not reflexive
(d) neither transitive nor reflexive but symmetric

## Q.10 A relation S in the set of real numbers is defined as xSy ⇒ x – y+ √3 is an irrational number, then relation S is

(a) reflexive
(b) reflexive and symmetric
(c) transitive
(d) symmetric and transitive

## Q.11 The function f : R → R defined by f(x) = 3 – 4x is

(a) Onto
(b) Not onto
(c) None one-one
(d) None of these

(a) one-one
(b) Many-one
(c) Odd
(d) Even

## Q.13 Let R be a relation on the set N of natural numbers defined by nRm if n divides m. Then R is

(a) Reflexive and symmetric
(b) Transitive and symmetric
(c) Equivalence
(d) Reflexive, transitive but not symmetric

## Q.14 The smallest integer function f(x) = [x] is

(a) One-one
(b) Many-one
(c) Both (a) & (b)
(d) None of these

## Q.15 Let f : R → R be defined as f(x) = 3x. Then

(a) f is one-one onto
(b) f is many-one onto
(c) f is one-one but not onto
(d) f is neither one-one nor onto

(a) 8
(b) 4
(c) 16
(d) 64

## Q.17 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

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

## Q.19 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) Transitive
(c) Symmetric
(d) None of these

## Q.20 Let * be a binary operation on set Q – {1} defind by a * b = a + b – ab : a, b ∈ Q – {1}. Then * is

(a) Commutative
(b) Associative
(c) Both (a) and (b)
(d) None of these

(a) 1
(b) 2
(c) 3
(d) 4

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