यदि \(A=\{1,2,3,4\}\) और \(R=\{(a,b):|a-b|=1\}\) है, तो कौन सा गुण सत्य है?
If \(A=\{1,2,3,4\}\) and \(R=\{(a,b):|a-b|=1\}\), which property is true?
Explanation opens after your attempt
Correct Answer
A. सममितिSymmetry
Concept
Since (|a-b|=|b-a|), the relation is symmetric. But ((a,a)) is absent, so it is not an equivalence relation.
Why this answer is correct
The correct answer is A. सममिति / Symmetry. Since (|a-b|=|b-a|), the relation is symmetric. But ((a,a)) is absent, so it is not an equivalence relation.
Exam Tip
क्योंकि (|a-b|=|b-a|), इसलिए संबंध सममित है। पर ((a,a)) नहीं होते, इसलिए यह तुल्य संबंध नहीं है।
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