यदि \(A\times B=\varnothing\) और \(B=\{7,8\}\), तो (A) के बारे में क्या सही है?
If \(A\times B=\varnothing\) and \(B=\{7,8\}\), what is true about (A)?
Explanation opens after your attempt
Correct Answer
A. \(A=\varnothing\)
Concept
Since (B) is non-empty and \(A\times B=\varnothing\), we must have \(A=\varnothing\). An empty product means at least one set is empty.
Why this answer is correct
The correct answer is A. \(A=\varnothing\). Since (B) is non-empty and \(A\times B=\varnothing\), we must have \(A=\varnothing\). An empty product means at least one set is empty.
Exam Tip
क्योंकि (B) रिक्त नहीं है और \(A\times B=\varnothing\), इसलिए \(A=\varnothing\)। रिक्त गुणनफल में कम से कम एक समुच्चय रिक्त होता है।
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