यदि \(A=\{1,2,3\}\), \(B=\{1,2,3,4\}\) और \(R=\{(x,y)\in A\times B:y=x+2\}\) है, तो (R) क्या है?
If \(A=\{1,2,3\}\), \(B=\{1,2,3,4\}\), and \(R=\{(x,y)\in A\times B:y=x+2\}\), what is (R)?
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Correct Answer
A. ( {(1,3),(2,4)} )
Concept
The condition (y=x+2) gives \(y\in B\) only for (x=1,2). For (x=3), (y=5), which is not in (B).
Why this answer is correct
The correct answer is A. ( {(1,3),(2,4)} ). The condition (y=x+2) gives \(y\in B\) only for (x=1,2). For (x=3), (y=5), which is not in (B).
Exam Tip
शर्त (y=x+2) से (x=1,2) पर ही \(y\in B\) मिलता है। (x=3) पर (y=5) है जो (B) में नहीं है।
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