यदि (R) प्रतिसममित है और \((3,5)\in R\), तो कौन सा निष्कर्ष सही है?
If (R) is antisymmetric and \((3,5)\in R\), which conclusion is correct?
Explanation opens after your attempt
Correct Answer
A. \((5,3)\in R\) नहीं हो सकता\((5,3)\in R\) cannot occur
Concept
In an antisymmetric relation, for distinct (a) and (b), both ((a,b)) and ((b,a)) cannot occur together. Since \(3\ne5\), ((5,3)) cannot occur.
Why this answer is correct
The correct answer is A. \((5,3)\in R\) नहीं हो सकता / \((5,3)\in R\) cannot occur. In an antisymmetric relation, for distinct (a) and (b), both ((a,b)) and ((b,a)) cannot occur together. Since \(3\ne5\), ((5,3)) cannot occur.
Exam Tip
प्रतिसममित संबंध में अलग-अलग (a) और (b) के लिए दोनों ((a,b)) और ((b,a)) साथ नहीं हो सकते। क्योंकि \(3\ne5\), ((5,3)) नहीं हो सकता।
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