यदि \(A=\{1,2,3,4\}\) पर \(R=\{(a,b):a\ne b\}\) है, तो सही कथन चुनिए।
If \(R=\{(a,b):a\ne b\}\) on \(A=\{1,2,3,4\}\), choose the correct statement.
Explanation opens after your attempt
Correct Answer
A. सममित लेकिन स्वतुल्य नहीं और संक्रमणीय नहींSymmetric but neither reflexive nor transitive
Concept
From \(a\ne b\), we get \(b\ne a\), so it is symmetric. But ((1,2)) and ((2,1)) would need ((1,1)), which is absent.
Why this answer is correct
The correct answer is A. सममित लेकिन स्वतुल्य नहीं और संक्रमणीय नहीं / Symmetric but neither reflexive nor transitive. From \(a\ne b\), we get \(b\ne a\), so it is symmetric. But ((1,2)) and ((2,1)) would need ((1,1)), which is absent.
Exam Tip
\(a\ne b\) से \(b\ne a\) मिलता है, इसलिए सममित है। पर ((1,2)) और ((2,1)) से ((1,1)) चाहिए, जो नहीं है।
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