यदि \(A=\{1,2,3,4,5\}\) और \(B=\{1,2,3\}\) है, तो \(A\times B\) में ऐसे कितने युग्म ((x,y)) हैं जिनके लिए (x=2y-1) है?
If \(A=\{1,2,3,4,5\}\) and \(B=\{1,2,3\}\), how many pairs ((x,y)) in \(A\times B\) satisfy (x=2y-1)?
Explanation opens after your attempt
C. (3)
Concept
For (y=1,2,3), we get (x=1,3,5), all of which lie in (A). Hence there are (3) pairs.
Why this answer is correct
The correct answer is C. (3). For (y=1,2,3), we get (x=1,3,5), all of which lie in (A). Hence there are (3) pairs.
Exam Tip
(y=1,2,3) देने पर (x=1,3,5) मिलते हैं और ये सभी (A) में हैं। अतः कुल (3) युग्म हैं।
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