\(समुच्चय (A={1,2,3,4}) पर (R={(a,b):a+b\) is odd}) है। (R) किस गुण में असफल है?
\(On (A={1,2,3,4}), (R={(a,b):a+b\) is odd}). Which property fails for (R)?
Explanation opens after your attempt
Correct Answer
A. स्वतुल्यताReflexivity
Concept
(a+a=2a) is always even, so ((a,a)) is not in the relation. The relation is symmetric but not reflexive.
Why this answer is correct
The correct answer is A. स्वतुल्यता / Reflexivity. (a+a=2a) is always even, so ((a,a)) is not in the relation. The relation is symmetric but not reflexive.
Exam Tip
(a+a=2a) हमेशा सम होता है, इसलिए ((a,a)) संबंध में नहीं है। संबंध सममित है, पर स्वतुल्य नहीं है।
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