यदि \(A=\{1,2,3,4\}\) और \(R=\{(a,b):a\ne b\}\), तो (R) के बारे में सही कथन क्या है?
If \(A=\{1,2,3,4\}\) and \(R=\{(a,b):a\ne b\}\), which statement about (R) is correct?
Explanation opens after your attempt
Correct Answer
B. सममित है पर प्रतिवर्ती नहींSymmetric but not reflexive
Concept
If \(a\ne b\), then \(b\ne a\), so it is symmetric. But ((a,a)) never occurs, so it is not reflexive.
Why this answer is correct
The correct answer is B. सममित है पर प्रतिवर्ती नहीं / Symmetric but not reflexive. If \(a\ne b\), then \(b\ne a\), so it is symmetric. But ((a,a)) never occurs, so it is not reflexive.
Exam Tip
यदि \(a\ne b\), तो \(b\ne a\), इसलिए सममित है। लेकिन ((a,a)) कभी नहीं आता, इसलिए प्रतिवर्ती नहीं है।
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