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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. - Mathematics

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Question

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.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

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

(2, 2) ∉ R

So, R is not reflexive

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Chapter 1: Relations And Functions - Exercise [Page 17]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 1 Relations And Functions
Exercise | Q 58 | Page 17

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