यदि \(A=\{1,2,3\}\) और \(R=\{(1,1),(2,2),(3,3),(1,2)\}\) हो तो (R) तुल्यता संबंध क्यों नहीं है?
If \(A=\{1,2,3\}\) and \(R=\{(1,1),(2,2),(3,3),(1,2)\}\), why is (R) not an equivalence relation?
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Correct Answer
A. क्योंकि यह सममित नहीं हैBecause it is not symmetric
Concept
Here \((1,2)\in R\) but \((2,1)\notin R\), so it is not symmetric. Equivalence needs reflexive, symmetric, and transitive properties.
Why this answer is correct
The correct answer is A. क्योंकि यह सममित नहीं है / Because it is not symmetric. Here \((1,2)\in R\) but \((2,1)\notin R\), so it is not symmetric. Equivalence needs reflexive, symmetric, and transitive properties.
Exam Tip
\((1,2)\in R\) है लेकिन \((2,1)\notin R\) है इसलिए यह सममित नहीं है। तुल्यता के लिए प्रतिवर्ती सममित और सकर्मक तीनों चाहिए।
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