यदि \(A=\{1,2,3,4\}\), \(B=\{a,b\}\), \(C=\{2,3,5\}\) और \(D=\{b,c\}\) है, तो (\(A\times B\)\cap\(C\times D\)) में कितने अवयव होंगे?
If \(A=\{1,2,3,4\}\), \(B=\{a,b\}\), \(C=\{2,3,5\}\) and \(D=\{b,c\}\), how many elements are in (\(A\times B\)\cap\(C\times D\))?
Explanation opens after your attempt
Correct Answer
B. (2)
Concept
(\(A\times B\)\cap\(C\times D\)=\(A\cap C\)\times\(B\cap D\)), where \(A\cap C={2,3}\) and \(B\cap D={b}\). So there are \(2\cdot1=2\) elements.
Why this answer is correct
The correct answer is B. (2). (\(A\times B\)\cap\(C\times D\)=\(A\cap C\)\times\(B\cap D\)), where \(A\cap C={2,3}\) and \(B\cap D={b}\). So there are \(2\cdot1=2\) elements.
Exam Tip
(\(A\times B\)\cap\(C\times D\)=\(A\cap C\)\times\(B\cap D\)), जहां \(A\cap C={2,3}\) और \(B\cap D={b}\)। इसलिए कुल \(2\cdot1=2\) अवयव हैं।
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