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1. Relations And Functions
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Q58 of 70 Page 11

State True or False for the statements

The relation R on the set A = {1, 2, 3} defined as R = {{1, 1), (1, 2), (2, 1), (3, 3)}is reflexive, symmetric and transitive.

False

Given that, A = {1, 2, 3} and R = {(1, 1), (1, 2), (2, 1), (3, 3)}


Now,


R is not reflexive ∵ (2,2) ∉ R


More from this chapter

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56

State True or False for the statements

An integer m is said to be related to another integer n if m is a integral multiple of n. This relation in Z is reflexive, symmetric and transitive.

57

State True or False for the statements

Let A = {0, 1} and N be the set of natural numbers. Then the mapping f :N → A defined by f (2n–1) = 0, f (2n) = 1,∀n ∈N, is onto.

59

State True or False for the statements

The composition of functions is commutative.

60

State True or False for the statements

The composition of functions is associative.

Questions · 70
1. Relations And Functions
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