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On (A={1,2,3}), (R={(a,b):a^2-b^2=0}). Why is (R) reflexive?

Answer and explanation

Correct answer: Because (a^2-a^2=0) for every (a)

Step 1: To check reflexivity, put (b=a). Step 2: Then (a^2-a^2=0), which is true for every element. Step 3: Equality-type conditions are satisfied when an element is compared with itself.

Related tags

Difference Of SquaresReflexive RelationConditionRelations And FunctionsMathematicsClass 12 Mcq

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