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Let $R$ be a relation on a set $A$ such that $R = R^{- 1}$ then $R$ is

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reflexive

symmetric

transitive

an equivalence relation

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detailed solution

Correct option is B

If (a,b)∈R then (b,a)∈R−1=R so R is symmetric. The relation R satisfying R=R−1is neither reflexive nor transitive.

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Let R be a relation on a set A such that R=R−1 then R is

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Let $R$ be a relation on a set $A$ such that $R = R^{- 1}$ then $R$ is