यदि (R) symmetric है, तो \(R^{-1}\) के साथ उसका संबंध क्या है?
If (R) is symmetric, what is its relation with \(R^{-1}\)?
Explanation opens after your attempt
Correct Answer
A. \(R=R^{-1}\)
Concept
In a symmetric relation, \((a,b)\in R\) implies \((b,a)\in R\), so the inverse has the same pairs. Hence \(R=R^{-1}\).
Why this answer is correct
The correct answer is A. \(R=R^{-1}\). In a symmetric relation, \((a,b)\in R\) implies \((b,a)\in R\), so the inverse has the same pairs. Hence \(R=R^{-1}\).
Exam Tip
Symmetric relation में \((a,b)\in R\) से \((b,a)\in R\), इसलिए inverse में वही pairs मिलते हैं। अतः \(R=R^{-1}\)।
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