\((A={1,2,3,4,5}) पर (R={(a,b):ab\) is even}) के लिए सही कथन चुनिए।
\(For (R={(a,b):ab\) is even\(}) on (A={1,2,3,4,5}), choose the correct statement.\)
Explanation opens after your attempt
Correct Answer
A. यह सममित है पर स्वसम नहींIt is symmetric but not reflexive
Concept
If (ab) is even, then (ba) is even. But pairs like ((1,1)) do not occur, so it is not reflexive.
Why this answer is correct
The correct answer is A. यह सममित है पर स्वसम नहीं / It is symmetric but not reflexive. If (ab) is even, then (ba) is even. But pairs like ((1,1)) do not occur, so it is not reflexive.
Exam Tip
(ab) सम हो तो (ba) भी सम है। पर ((1,1)) जैसे युग्म नहीं आते इसलिए स्वसम नहीं।
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