\(A=\{1,2,3,4,5\}\) पर \(R=\{(a,b):|a-b|=2\}\) के लिए कौन सा गुण सत्य है?
For \(R=\{(a,b):|a-b|=2\}\) on \(A=\{1,2,3,4,5\}\), which property is true?
Explanation opens after your attempt
Correct Answer
A. सममितSymmetric
Concept
If (|a-b|=2), then (|b-a|=2) also. But ((a,a)) never occurs, so it is not reflexive.
Why this answer is correct
The correct answer is A. सममित / Symmetric. If (|a-b|=2), then (|b-a|=2) also. But ((a,a)) never occurs, so it is not reflexive.
Exam Tip
(|a-b|=2) होने पर (|b-a|=2) भी होता है। पर ((a,a)) नहीं आता इसलिए स्वसम नहीं।
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