यदि (R) और (S), (A) पर दो स्वतुल्य संबंध हैं, तो \(R\cap S\) के बारे में कौन सा कथन हमेशा सत्य है?
If (R) and (S) are two reflexive relations on (A), which statement is always true about \(R\cap S\)?
Explanation opens after your attempt
A. \(R\cap S\) स्वतुल्य है\(R\cap S\) is reflexive
Concept
Every ((a,a)) is present in both, so every ((a,a)) remains in the intersection. Reflexivity is preserved under intersection.
Why this answer is correct
The correct answer is A. \(R\cap S\) स्वतुल्य है / \(R\cap S\) is reflexive. Every ((a,a)) is present in both, so every ((a,a)) remains in the intersection. Reflexivity is preserved under intersection.
Exam Tip
दोनों में हर ((a,a)) मौजूद है, इसलिए प्रतिच्छेद में भी हर ((a,a)) रहेगा। स्वतुल्यता प्रतिच्छेद में सुरक्षित रहती है।
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