Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_relations
Class 12 Maths · Relations And Functions · Mcq Single Correct #105
If \(R_1,R_2\) are equivalence relations on \(A\), then \(R_1\cup R_2\) may or may not be
✅ Step-by-Step Solution
Final Answer: Option (C): Transitive
- Reflexivity and symmetry always survive union. Transitivity need not: take partitions {1,2}|{3} and {1}|{2,3}. The union has 1R2 and 2R3 but not 1R3. Identical equivalence relations give a transitive union.
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