यदि \(A=\{1,2,3\}\), \(B=\{2,3,4\}\) और \(C=\{3,4,5\}\), तो (\(A\times B\)\cap\(A\times C\)) किसके बराबर है?
If \(A=\{1,2,3\}\), \(B=\{2,3,4\}\), and \(C=\{3,4,5\}\), what is (\(A\times B\)\cap\(A\times C\)) equal to?
Explanation opens after your attempt
Correct Answer
A. (A\times\(B\cap C\))
Concept
The first component is the same set (A), so the second component must lie in both (B) and (C). Thus (\(A\times B\)\cap\(A\times C\)=A\times\(B\cap C\)).
Why this answer is correct
The correct answer is A. (A\times\(B\cap C\)). The first component is the same set (A), so the second component must lie in both (B) and (C). Thus (\(A\times B\)\cap\(A\times C\)=A\times\(B\cap C\)).
Exam Tip
समान पहला घटक (A) है, इसलिए दूसरा घटक (B) और (C) दोनों में होना चाहिए। अतः (\(A\times B\)\cap\(A\times C\)=A\times\(B\cap C\))।
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