यदि \(A\times B=\varnothing\) और \(A=\{0\}\), तो (B) के बारे में क्या सही है?
If \(A\times B=\varnothing\) and \(A=\{0\}\), what is true about (B)?
Explanation opens after your attempt
A. \(B=\varnothing\)
Concept
Since (A) is non-empty and \(A\times B=\varnothing\), we must have \(B=\varnothing\). An empty product means at least one set is empty.
Why this answer is correct
The correct answer is A. \(B=\varnothing\). Since (A) is non-empty and \(A\times B=\varnothing\), we must have \(B=\varnothing\). An empty product means at least one set is empty.
Exam Tip
क्योंकि (A) रिक्त नहीं है और \(A\times B=\varnothing\), इसलिए \(B=\varnothing\)। रिक्त गुणनफल में कम से कम एक समुच्चय रिक्त होता है।
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