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Relations and Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRelations and Functions1 Mark
MCQ
Let $A=\{a, b, c\}$ and let $R=\{(a, a),(a, b)$, $(b, a)\}$. Then, $R$ is
  • A
    reflexive and symmetric but not transitive
  • B
    reflexive and transitive but not symmetric
  • ✓
    symmetric and transitive but not reflexive
  • D
    an equivalence relation
✓

Answer

Correct option: C.
symmetric and transitive but not reflexive
(c) : $R$ is symmetric and transitive but not reflexive.

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