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Class 12 Relations And Functions · Assertion Reason1 Markstypes_of_functions

Class 12 Maths · Relations And Functions · Assertion Reason #153

Assertion: On \(A=\{1,2,3\}\), \(R=\{(1,2),(2,1)\}\) is not transitive. Reason: Transitivity requires (1,1) whenever (1,2) and (2,1) are present; here (1,1) is absent.

✅ Step-by-Step Solution

Final Answer: Option (A): Both A and R are true, and R correctly explains A.
  1. The missing diagonal pair provides a direct counterexample to transitivity.

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