यदि \(A=\{1,2,3\}\) और \(R=\{(x,y):x-y=0\}\), जहां \(x,y\in A\), तो (R) किसके बराबर है?
If \(A=\{1,2,3\}\) and \(R=\{(x,y):x-y=0\}\), where \(x,y\in A\), then (R) is equal to what?
Explanation opens after your attempt
B. ({(1,1),(2,2),(3,3)})
Concept
The equation (x-y=0) means (x=y). Therefore this is the identity relation on (A).
Why this answer is correct
The correct answer is B. ({(1,1),(2,2),(3,3)}). The equation (x-y=0) means (x=y). Therefore this is the identity relation on (A).
Exam Tip
(x-y=0) का अर्थ (x=y) है। इसलिए यह (A) पर तत्समक संबंध है।
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