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If R and R′ are symmetric relation (not disjoint) on a set A, then the relation R ∩ R′ is(1) reflexive(2) symmetric(3) transitive(4) none of these |
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Answer» Correct option (2) symmetric Explanation: (x, y) ∈ R ∩ R′ ⇒ (x, y) ∈ R and (x, y) ∈ R′ ⇒ (y, x) ∈ R and (y, x) ∈ R′ since R and R′ are symmetric. ⇒ (y, x) ∈ R ∩ R′ ⇒ R ∩ R′ is symmetric. |
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