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If relation (R) is symmetric and transitive, and ((1,2)\in R), ((2,1)\in R), which pair can be obtained by transitivity?

Answer and explanation

Correct answer: ((1,1))

Step 1: Transitivity gives ((a,c)) from ((a,b)) and ((b,c)). Step 2: Here ((1,2)) and ((2,1)) give ((1,1)). Step 3: In mixed-property questions, think by chaining ordered pairs.

Related tags

Symmetric And TransitiveRelationsProperty MixSymmetric RelationRelations And FunctionsMathematicsClass 12 Mcq

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