\((A={1,2,3,4}) पर संबंध (R={(a,b):a+b\) is odd}) के लिए कौन सा कथन सही है?
\(For the relation (R={(a,b):a+b\) is odd\(}) on (A={1,2,3,4}), which statement is correct\)?
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Correct Answer
B. सममित पर प्रतिवर्ती नहींSymmetric but not reflexive
Concept
If (a+b) is odd, then (b+a) is also odd, so it is symmetric. But (a+a=2a) is even, so it is not reflexive.
Why this answer is correct
The correct answer is B. सममित पर प्रतिवर्ती नहीं / Symmetric but not reflexive. If (a+b) is odd, then (b+a) is also odd, so it is symmetric. But (a+a=2a) is even, so it is not reflexive.
Exam Tip
यदि (a+b) विषम है, तो (b+a) भी विषम है, इसलिए सममित है। लेकिन (a+a=2a) सम है, इसलिए प्रतिवर्ती नहीं है।
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