यदि \(A=\{1,2,3\}\) पर \(R=\{(a,b):a\leq b\}\), तो कौन सा कथन सही है?
If \(R=\{(a,b):a\leq b\}\) on \(A=\{1,2,3\}\), which statement is true?
Explanation opens after your attempt
Correct Answer
A. (R) परावर्ती है लेकिन सामान्यतः सममित नहीं है(R) is reflexive but generally not symmetric
Concept
Since \(a\leq a\) for every (a), (R) is reflexive. But \((1,2)\in R\) while \((2,1)\notin R\), so it is not symmetric.
Why this answer is correct
The correct answer is A. (R) परावर्ती है लेकिन सामान्यतः सममित नहीं है / (R) is reflexive but generally not symmetric. Since \(a\leq a\) for every (a), (R) is reflexive. But \((1,2)\in R\) while \((2,1)\notin R\), so it is not symmetric.
Exam Tip
क्योंकि हर (a) के लिए \(a\leq a\) है, इसलिए (R) परावर्ती है। लेकिन \((1,2)\in R\) होने पर \((2,1)\notin R\), इसलिए यह सममित नहीं है।
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