यदि \(A\times B=\varnothing\), तो कौन सा कथन सदैव सत्य है?
If \(A\times B=\varnothing\), which statement is always true?
Explanation opens after your attempt
Correct Answer
B. \(A=\varnothing\) या \(B=\varnothing\)\(A=\varnothing\) or \(B=\varnothing\)
Concept
The Cartesian product is empty when at least one of the sets is empty. Both sets need not be empty.
Why this answer is correct
The correct answer is B. \(A=\varnothing\) या \(B=\varnothing\) / \(A=\varnothing\) or \(B=\varnothing\). The Cartesian product is empty when at least one of the sets is empty. Both sets need not be empty.
Exam Tip
कार्तीय गुणन खाली तभी होगा जब कम से कम एक समुच्चय खाली हो। दोनों का खाली होना जरूरी नहीं है।
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