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Question: Answered & Verified by Expert
Let $R$ and $S$ be two equivalence relations on a non-void set $A$. Then
MathematicsSets and RelationsJEE Main
Options:
  • A $\mathrm{R} \cup \mathrm{S}$ is equivalence relation
  • B $\mathrm{R} \cap \mathrm{S}$ is equivalence relation
  • C $\mathrm{R} \cap \mathrm{S}$ is not equivalence relation
  • D $\mathrm{R} \cup \mathrm{S}$ is not equivalence relation
Solution:
2522 Upvotes Verified Answer
The correct answers are: $\mathrm{R} \cap \mathrm{S}$ is equivalence relation
(B) $\mathrm{R} \cap \mathrm{S}$ is equivalence relation

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