यदि \(A\times B=\varnothing\) और \(A=\{1,2,3\}\), तो (B) के बारे में कौन सा कथन सही है?
If \(A\times B=\varnothing\) and \(A=\{1,2,3\}\), which statement about (B) is correct?
Explanation opens after your attempt
Correct Answer
A. \(B=\varnothing\)
Concept
If (A) is non-empty and \(A\times B=\varnothing\), then \(B=\varnothing\). A Cartesian product is empty if at least one set is empty.
Why this answer is correct
The correct answer is A. \(B=\varnothing\). If (A) is non-empty and \(A\times B=\varnothing\), then \(B=\varnothing\). A Cartesian product is empty if at least one set is empty.
Exam Tip
यदि (A) रिक्त नहीं है और \(A\times B=\varnothing\), तो \(B=\varnothing\) होना चाहिए। रिक्त गुणनफल में कम से कम एक समुच्चय रिक्त होता है।
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