\((A={1,2,3,4}) पर (R={(a,b):a+b\) is odd}) कैसा है?

\(On (A={1,2,3,4}), what is (R={(a,b):a+b\) is odd})?

Explanation opens after your attempt
Correct Answer

A. सममित पर स्वसम नहींSymmetric but not reflexive

Step 1

Concept

If (a+b) is odd, then (b+a) is also odd. But (a+a) is always even, so it is not reflexive.

Step 2

Why this answer is correct

The correct answer is A. सममित पर स्वसम नहीं / Symmetric but not reflexive. If (a+b) is odd, then (b+a) is also odd. But (a+a) is always even, so it is not reflexive.

Step 3

Exam Tip

(a+b) विषम हो तो (b+a) भी विषम है। पर (a+a) सदैव सम होता है इसलिए स्वसम नहीं।

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Mathematics Answer, Explanation and Revision Hints

\((A={1,2,3,4}) पर (R={(a,b):a+b\) is odd}) कैसा है? \(/ On (A={1,2,3,4}), what is (R={(a,b):a+b\) is odd})?

Correct Answer: A. सममित पर स्वसम नहीं / Symmetric but not reflexive. Explanation: (a+b) विषम हो तो (b+a) भी विषम है। पर (a+a) सदैव सम होता है इसलिए स्वसम नहीं। / If (a+b) is odd, then (b+a) is also odd. But (a+a) is always even, so it is not reflexive.

Which concept should I revise for this Mathematics MCQ?

If (a+b) is odd, then (b+a) is also odd. But (a+a) is always even, so it is not reflexive.

What exam hint can help solve this Mathematics question?

(a+b) विषम हो तो (b+a) भी विषम है। पर (a+a) सदैव सम होता है इसलिए स्वसम नहीं।