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Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_relations

Class 12 Maths · Relations And Functions · Mcq Single Correct #12

Let \(R\) be the relation in the set \(\{1,2,3,4\}\) given by \(R=\{(1,2),(2,2),(1,1),(4,4),(1,3),(3,3),(3,2)\}\). Choose the correct answer.

✅ Step-by-Step Solution

Final Answer: Option (B): R is reflexive and transitive but not symmetric.
  1. All four diagonal pairs are present. The nontrivial chain \(1R3\) and \(3R2\) has \(1R2\), so transitivity holds. Symmetry fails since \((1,2)\in R\) but \((2,1)\notin R\).

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