\((A={1,2,3,4,5}) पर (R={(a,b):a-b\) is divisible by 2}) है। (R) किस प्रकार का संबंध है?
\(On (A={1,2,3,4,5}), (R={(a,b):a-b\) is divisible by 2}). What type of relation is (R)?
Explanation opens after your attempt
Correct Answer
B. समतुल्य संबंधEquivalence relation
Concept
Elements with the same parity are related, so reflexive, symmetric, and transitive properties all hold. Hence (R) is an equivalence relation.
Why this answer is correct
The correct answer is B. समतुल्य संबंध / Equivalence relation. Elements with the same parity are related, so reflexive, symmetric, and transitive properties all hold. Hence (R) is an equivalence relation.
Exam Tip
समान parity वाले अवयव जुड़े हैं, इसलिए प्रतिवर्ती, सममित और संक्रमी तीनों गुण मिलते हैं। अतः (R) समतुल्य संबंध है।
Login to save your score, XP, coins and progress.