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If a relation on (A={1,2,3}) is (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}), which minimum pair must be added to make (R) symmetric?

Answer and explanation

Correct answer: ((3,2))

Step 1: In a symmetric relation, whenever ((a,b) \in R), ((b,a) \in R) must also be present. Step 2: Here ((2,3)) is present but ((3,2)) is missing. Step 3: For such questions, look only for missing reverse pairs instead of recounting all pairs.

Related tags

RelationsSymmetric RelationOrdered PairsClass 12Relations And FunctionsMathematicsClass 12 Mcq

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