Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_relations
Class 12 Maths · Relations And Functions · Mcq Single Correct #111
Let \(A=\{1,2,3\}\) and \(R=\{(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)\}\). Then \(R\) is
(A) Reflexive but not symmetric
(B) Reflexive but not transitive
(C) Symmetric and transitive
(D) Neither symmetric nor transitive
✅ Step-by-Step Solution
Final Answer: Option (A): Reflexive but not symmetric
All diagonal pairs occur. The relation is also transitive, including the required 1R3 from 1R2 and 2R3. It is not symmetric because 2R1 is absent. Thus only option a is correct.
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