समुच्चय \(A=\{1,2,3\}\) पर \(R=\{(1,1),(2,2),(3,3),(1,2)\}\) के लिए कौन सा कथन सही है?
For \(R=\{(1,1),(2,2),(3,3),(1,2)\}\) on \(A=\{1,2,3\}\), which statement is correct?
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Correct Answer
A. यह प्रतिवर्ती और प्रतिसममित हैIt is reflexive and antisymmetric
Concept
All diagonal pairs are present, so it is reflexive. Since ((2,1)) is absent, ((1,2)) does not break antisymmetry.
Why this answer is correct
The correct answer is A. यह प्रतिवर्ती और प्रतिसममित है / It is reflexive and antisymmetric. All diagonal pairs are present, so it is reflexive. Since ((2,1)) is absent, ((1,2)) does not break antisymmetry.
Exam Tip
सभी diagonal युग्म हैं, इसलिए यह प्रतिवर्ती है। ((2,1)) नहीं है, इसलिए ((1,2)) से प्रतिसममिति नहीं टूटती।
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