यदि (R) और (S) किसी समुच्चय (A) पर सममित संबंध हैं, तो \(R\cap S\) के बारे में कौन सा कथन सही है?
If (R) and (S) are symmetric relations on a set (A), which statement about \(R\cap S\) is correct?
Explanation opens after your attempt
Correct Answer
A. यह सदैव सममित हैIt is always symmetric
Concept
If \((a,b)\in R\cap S\), then ((a,b)) belongs to both relations. Since both are symmetric, ((b,a)) also belongs to both.
Why this answer is correct
The correct answer is A. यह सदैव सममित है / It is always symmetric. If \((a,b)\in R\cap S\), then ((a,b)) belongs to both relations. Since both are symmetric, ((b,a)) also belongs to both.
Exam Tip
यदि \((a,b)\in R\cap S\), तो ((a,b)) दोनों में है। दोनों सममित हैं, इसलिए ((b,a)) भी दोनों में होगा।
Login to save your score, XP, coins and progress.