\((A={1,2,3,4}) पर (R={(a,b):a+b\) सम है}) के बारे में कौन सा कथन सही है?
\(On (A={1,2,3,4}), which statement is correct for (R={(a,b):a+b\) is even})?
Explanation opens after your attempt
A. यह तुल्यता संबंध हैIt is an equivalence relation
Concept
Elements with the same parity are related, so the relation is reflexive, symmetric, and transitive. In exams, check it by splitting into even and odd classes.
Why this answer is correct
The correct answer is A. यह तुल्यता संबंध है / It is an equivalence relation. Elements with the same parity are related, so the relation is reflexive, symmetric, and transitive. In exams, check it by splitting into even and odd classes.
Exam Tip
समान parity वाले तत्व जुड़े हैं, इसलिए संबंध स्वसम, सममित और संकर्मक है। परीक्षा में इसे सम और विषम वर्गों में बांटकर जांचें।
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