Let $R = {(a, a), (b, b), (c, c), (a, b)}$ be a relation on set $A = {a, b, c}$ . Then, $R$ is

neither reflexive nor transitive

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neither symmetric nor transitive

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reflexive

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none of these

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Solution

The correct option is C reflexive
Given $R = {(a, a), (b, b), (c, c), (a, b)}$ be a relation on set $A = {a, b, c}$ .

Now for all $a, b, c \in A, (a, a), (b, b), (c, c) \in R$ , so $R$ is reflexive.

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