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On (A={1,2,3}), which relation is not symmetric?

Answer and explanation

Correct answer: ( {(1,2),(2,1),(2,3)} )

Step 1: To show a relation is not symmetric, find one pair whose reverse is missing. Step 2: In the first option, ((2,3)) is present but ((3,2)) is missing. Step 3: The empty relation is symmetric because there is no pair that violates the condition.

Related tags

RelationsSymmetric RelationCounterexampleClass 12Relations And FunctionsMathematicsClass 12 Mcq

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