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RELATIONS AND FUNCTIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRELATIONS AND FUNCTIONS2 Marks
Question
Is it true that every relation which is symmetric and transitive is also reflexive? Give reasons.
✓

Answer

No, it is not necessary that a relation which is symmetric and transitive is reflexive as well.
For Example,
Let A = {a, b, c} be a set and
$R_2$ = {(a, a)} is a relation defined on A.
Clearly,
$R_2$​​​​​​​ is symmetric and transitive but not reflexive.

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