यदि \(A=\{1,2,3\}\) और \(B=\{1,2\}\) हैं, तो \(A\times B\) में कितने युग्म ((x,y)) ऐसे हैं कि (x=y)?
If \(A=\{1,2,3\}\) and \(B=\{1,2\}\), how many pairs ((x,y)) in \(A\times B\) satisfy (x=y)?
Explanation opens after your attempt
Correct Answer
A. (2)
Concept
The equal-component pairs are ((1,1)) and ((2,2)). Only elements of \(A\cap B\) form such pairs.
Why this answer is correct
The correct answer is A. (2). The equal-component pairs are ((1,1)) and ((2,2)). Only elements of \(A\cap B\) form such pairs.
Exam Tip
समान घटकों वाले युग्म ((1,1)) और ((2,2)) हैं। केवल \(A\cap B\) के अवयव ऐसे युग्म बनाते हैं।
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