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On (A={1,2,3,4}), (R={(a,b):a+b) is even(}). (R) is reflexive because which statement is true?

Answer and explanation

Correct answer: For every (a), (a+a=2a) is even

Step 1: For a self-pair, the sum becomes (a+a). Step 2: (a+a=2a) is always even, whether (a) is even or odd. Step 3: In parity-of-sum relations, first check (2a).

Related tags

Sum EvenReflexive RelationParityClass 12Relations And FunctionsMathematicsClass 12 Mcq

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