समुच्चय \(A=\{1,2,3\}\) पर \(R=\{(1,2),(2,1),(2,3),(3,2)\}\) है। (R) के बारे में सही निष्कर्ष क्या है?
For \(A=\{1,2,3\}\), \(R=\{(1,2),(2,1),(2,3),(3,2)\}\). What is the correct conclusion about (R)?
Explanation opens after your attempt
Correct Answer
A. सममित लेकिन संक्रामी नहींSymmetric but not transitive
Concept
Every present pair has its reverse, so the relation is symmetric. But ((1,2)) and ((2,3)) are present while ((1,3)) is not, so it is not transitive.
Why this answer is correct
The correct answer is A. सममित लेकिन संक्रामी नहीं / Symmetric but not transitive. Every present pair has its reverse, so the relation is symmetric. But ((1,2)) and ((2,3)) are present while ((1,3)) is not, so it is not transitive.
Exam Tip
हर मौजूद pair का reverse मौजूद है, इसलिए सममित है। पर ((1,2)) और ((2,3)) हैं लेकिन ((1,3)) नहीं है, इसलिए संक्रामी नहीं।
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