\(A=\{1,2,3,4\}\) पर \(R=\{(a,b):|a-b|=1\}\) है। (R) के बारे में सही कथन क्या है?
On \(A=\{1,2,3,4\}\), \(R=\{(a,b):|a-b|=1\}\). Which statement about (R) is correct?
Explanation opens after your attempt
Correct Answer
B. सममित हैIt is symmetric
Concept
If (|a-b|=1), then (|b-a|=1), so it is symmetric. But ((1,2)) and ((2,3)) hold while ((1,3)) does not, so it is not transitive.
Why this answer is correct
The correct answer is B. सममित है / It is symmetric. If (|a-b|=1), then (|b-a|=1), so it is symmetric. But ((1,2)) and ((2,3)) hold while ((1,3)) does not, so it is not transitive.
Exam Tip
यदि (|a-b|=1), तो (|b-a|=1), इसलिए सममित है। लेकिन ((1,2)) और ((2,3)) होने पर ((1,3)) नहीं है, इसलिए संक्रमी नहीं है।
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