Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_relations
Class 12 Maths · Relations And Functions · Mcq Single Correct #69
If \(A=\{a,b,c,d\}\), then \(R=\{(a,b),(b,a),(a,a)\}\) on \(A\) is
(A) Symmetric only
(B) Transitive only
(C) Reflexive and transitive
(D) Symmetric and transitive only
✅ Step-by-Step Solution
Final Answer: Option (A): Symmetric only
The pair reversals are present, so symmetry holds. Reflexivity fails because \((b,b)\) is absent. Transitivity also fails: \(bRa\) and \(aRb\), but not \(bRb\). Thus a is correct.
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