\(\mathbb{N}\) पर (aRb) तभी जब (a+b) विषम हो। (R) के बारे में सही कथन क्या है?
On \(\mathbb{N}\), (aRb) if and only if (a+b) is odd. What is the correct statement about (R)?
Explanation opens after your attempt
Correct Answer
A. सममित लेकिन प्रतिवर्ती नहींSymmetric but not reflexive
Concept
Addition is commutative, so the relation is symmetric. But (a+a=2a) is always even, so (aRa) never holds.
Why this answer is correct
The correct answer is A. सममित लेकिन प्रतिवर्ती नहीं / Symmetric but not reflexive. Addition is commutative, so the relation is symmetric. But (a+a=2a) is always even, so (aRa) never holds.
Exam Tip
योग commutative है, इसलिए relation symmetric है। पर (a+a=2a) हमेशा सम है, इसलिए (aRa) कभी नहीं होता।
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