NCERT Exemplar Solutions For Class 12 Maths Chapter 1 Relations and Functions MCQ

The first chapter of NCERT Exemplar Solutions for Class 12 Maths is Relations and Functions. This chapter deals with different types of relations and functions.

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Q1. If A = {1, 2, 3, 4 }, define relations on A which have properties of being:

(a) reflexive, transitive but not symmetric
(b) symmetric but neither reflexive nor transitive
(c) reflexive, symmetric and transitive.

(c) reflexive, symmetric and transitive.


Q2. Given A = {2, 3, 4}, B = {2, 5, 6, 7}. Construct an example of each of the following:

(a) an injective mapping from A to B
(b) a mapping from A to B which is not injective
(c) a mapping from B to A.

(c) a mapping from B to A.


Q3. Let * be binary operation defined on R by a * b = 1 + ab, ? a, b ? R. Then the operation * is

(a) commutative but not associative
(b) associative but not commutative
(c) neither commutative nor associative
(d) both commutative and associative

(a) commutative but not associative


Q4. 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

(c) equivalence


Q5. Consider the non-empty set consisting of children in a family and a relation R defined as aRb if a is brother of b. Then R is

(a) symmetric but not transitive
(b) transitive but not symmetric
(c) neither symmetric nor transitive
(d) both symmetric and transitive

(b) transitive but not symmetric


Q6. The maximum number of equivalence relations on the set A = {1, 2, 3} are

(a) 1
(b) 2
(c) 3
(d) 5

(d) 5


Q7. If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is

(a) reflexive
(b) transitive
(c) symmetric
(d) none of these

(d) none of these


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