यदि \(A=\{(x,y):x,y\in{1,2,3},\ x<y\}\) और \(B=\{(x,y):x+y=4\}\) हैं, तो \(A\cap B\) क्या है?
If \(A=\{(x,y):x,y\in{1,2,3},\ x<y\}\) and \(B=\{(x,y):x+y=4\}\), what is \(A\cap B\)?
Explanation opens after your attempt
A. ({(1,3)})
Concept
Among pairs with (x<y), only ((1,3)) has sum (4). In ordered pairs, changing order changes the element.
Why this answer is correct
The correct answer is A. ({(1,3)}). Among pairs with (x<y), only ((1,3)) has sum (4). In ordered pairs, changing order changes the element.
Exam Tip
(x<y) वाले युग्मों में केवल ((1,3)) का योग (4) है। क्रमित युग्मों में क्रम बदलने से तत्व बदल जाता है।
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