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RELATIONS AND FUNCTIONS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSRELATIONS AND FUNCTIONS1 Mark
Question
State True or False for the statements.
Every relation which is symmetric and transitive is also reflexive.
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Answer

False.Solution:
Let R be a relation defined by,
R = {(1, 2), (2, 1), (1, 1), (2, 2)} on the set A = {1, 2, 3}
It is clear that $(3,3)\notin\text{R}.$ So, it is not reflexive.

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