यदि \(A=\{1,2,3,4\}\) और \(R=\{(x,y):x+y=5\}\) हो तो (R) किस गुण वाला है?
If \(A=\{1,2,3,4\}\) and \(R=\{(x,y):x+y=5\}\), which property does (R) have?
Explanation opens after your attempt
Correct Answer
A. सममितSymmetric
Concept
If (x+y=5), then (y+x=5) also holds, so the reverse pair is included. Hence the relation is symmetric.
Why this answer is correct
The correct answer is A. सममित / Symmetric. If (x+y=5), then (y+x=5) also holds, so the reverse pair is included. Hence the relation is symmetric.
Exam Tip
यदि (x+y=5) है तो (y+x=5) भी है इसलिए उल्टा युग्म भी आएगा। अतः संबंध सममित है।
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