यदि \(A=\{1,2\}\), \(B=\{2,3\}\), \(C=\{3,4\}\) हैं, तो (\(A\times B\)\cap\(A\times C\)) क्या है?
If \(A=\{1,2\}\), \(B=\{2,3\}\), \(C=\{3,4\}\), what is (\(A\times B\)\cap\(A\times C\))?
Explanation opens after your attempt
Correct Answer
A. ({(1,3),(2,3)})
Concept
(\(A\times B\)\cap\(A\times C\)=A\times\(B\cap C\)), and \(B\cap C={3}\). Thus the pairs are ((1,3)) and ((2,3)).
Why this answer is correct
The correct answer is A. ({(1,3),(2,3)}). (\(A\times B\)\cap\(A\times C\)=A\times\(B\cap C\)), and \(B\cap C={3}\). Thus the pairs are ((1,3)) and ((2,3)).
Exam Tip
(\(A\times B\)\cap\(A\times C\)=A\times\(B\cap C\)) और \(B\cap C={3}\)। इसलिए युग्म ((1,3)) और ((2,3)) हैं।
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