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If `A={a ,\ b ,\ c ,\ d},` then a relation `R={(a ,\ b),\ (b ,\ a),\ (a ,\ a)}` on `A` is (a)symmetric and transitive only (b)reflexive and transitive only (c) symmetric only (d) transitive only

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The correct Answer is:
a) symmetric and transitive only
Reflexivity: Since `(b, b) notin R`, R is not reflexive on A.
Symmetry: Since `(a, b) in R and (b, a) in R`, R is symmetric on A.
Transitivity: Since` (a, b) in R,(b, a) in R and (a, a) in R`, R is transitive on A

Symmetric and Transitive only.
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