समुच्चय \(A=\{1,2,3,4\}\) पर (aRb) तभी जब \(a\neq b\)। (R) के बारे में कौन सा कथन सही है?
On \(A=\{1,2,3,4\}\), (aRb) if and only if \(a\neq b\). Which statement about (R) is correct?
Explanation opens after your attempt
Correct Answer
A. सममित लेकिन संक्रामी नहींSymmetric but not transitive
Concept
If \(a\neq b\), then \(b\neq a\), so it is symmetric. But (1R2) and (2R1) hold while (1R1) does not, so it is not transitive.
Why this answer is correct
The correct answer is A. सममित लेकिन संक्रामी नहीं / Symmetric but not transitive. If \(a\neq b\), then \(b\neq a\), so it is symmetric. But (1R2) and (2R1) hold while (1R1) does not, so it is not transitive.
Exam Tip
यदि \(a\neq b\), तो \(b\neq a\), इसलिए symmetric है। लेकिन (1R2) और (2R1) हैं, फिर भी (1R1) नहीं, इसलिए transitive नहीं।
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