समुच्चय \(A=\{1,2,3\}\) पर \(R=\{(1,1),(2,2),(3,3),(1,2)\}\) है। (R) के लिए सही कथन कौन सा है?
On set \(A=\{1,2,3\}\), \(R=\{(1,1),(2,2),(3,3),(1,2)\}\). Which statement is correct for (R)?
Explanation opens after your attempt
Correct Answer
A. प्रतिवर्ती है पर सममित नहींReflexive but not symmetric
Concept
All ((a,a)) pairs are present, so (R) is reflexive. Since ((1,2)) is present but ((2,1)) is not, it is not symmetric.
Why this answer is correct
The correct answer is A. प्रतिवर्ती है पर सममित नहीं / Reflexive but not symmetric. All ((a,a)) pairs are present, so (R) is reflexive. Since ((1,2)) is present but ((2,1)) is not, it is not symmetric.
Exam Tip
सभी ((a,a)) मौजूद हैं, इसलिए (R) प्रतिवर्ती है। ((1,2)) है पर ((2,1)) नहीं है, इसलिए सममित नहीं है।
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