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If (R) is transitive and ((5,5) \in R), ((5,8) \in R), which pair is obtained by transitivity?

Answer and explanation

Correct answer: ((5,8))

Step 1: In ((5,5)) and ((5,8)), the common middle element is (5). Step 2: Transitivity gives ((5,8)), which is already present. Step 3: Sometimes the transitive rule gives an old pair, not a new one.

Related tags

Transitive RelationDiagonal With PairRule ApplicationRelations And FunctionsMathematicsClass 12 Mcq

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