\(यदि (A={1,2,3,4}) पर (R={(a,b):a=b\) or \(a+b=5}) है, तो (R) कैसा है\)?
\(If (R={(a,b):a=b\) or \(a+b=5}) on (A={1,2,3,4}), what is (R)\)?
Explanation opens after your attempt
Correct Answer
A. स्वतुल्य और सममित लेकिन संक्रमणीय नहींReflexive and symmetric but not transitive
Concept
The condition (a=b) gives reflexivity and (a+b=5) gives symmetry. But ((1,4)) and ((4,2)) would require ((1,2)), which is absent.
Why this answer is correct
The correct answer is A. स्वतुल्य और सममित लेकिन संक्रमणीय नहीं / Reflexive and symmetric but not transitive. The condition (a=b) gives reflexivity and (a+b=5) gives symmetry. But ((1,4)) and ((4,2)) would require ((1,2)), which is absent.
Exam Tip
(a=b) से स्वतुल्यता और (a+b=5) से सममिति मिलती है। पर ((1,4)) और ((4,2)) से ((1,2)) चाहिए, जो नहीं है।
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