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If (R) and (S) are reflexive relations on (A), which statement about (R\cap S) is correct?

Answer and explanation

Correct answer: (R\cap S) will be reflexive

Step 1: Since (R) and (S) are reflexive, every ((a,a)) belongs to both. Step 2: Pairs common to both remain in the intersection. Step 3: Hence all diagonal pairs remain in (R\cap S), so it is reflexive.

Related tags

RelationsIntersectionReflexiveSetsIntroduction To RelationsRelations And FunctionsMathematicsClass 12 Mcq

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