\(A=\{1,2,3,4\}\) पर \(R=\{(a,b):a\mid b\}\) के लिए सही कथन क्या है?
For \(R=\{(a,b):a\mid b\}\) on \(A=\{1,2,3,4\}\), which statement is correct?
Explanation opens after your attempt
Correct Answer
A. प्रतिवर्ती और संक्रमी पर सममित नहींReflexive and transitive but not symmetric
Concept
Every \(a\mid a\), so it is reflexive, and divisibility is transitive. But \(1\mid2\) while \(2\nmid1\), so it is not symmetric.
Why this answer is correct
The correct answer is A. प्रतिवर्ती और संक्रमी पर सममित नहीं / Reflexive and transitive but not symmetric. Every \(a\mid a\), so it is reflexive, and divisibility is transitive. But \(1\mid2\) while \(2\nmid1\), so it is not symmetric.
Exam Tip
हर \(a\mid a\), इसलिए प्रतिवर्ती है, और भाग्यता संक्रमी होती है। लेकिन \(1\mid2\) पर \(2\nmid1\), इसलिए सममित नहीं है।
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