यदि \(A\times B=\varnothing\) है, तो कौन सा निष्कर्ष हमेशा सत्य है?
If \(A\times B=\varnothing\), which conclusion is always true?
Explanation opens after your attempt
Correct Answer
B. \(A=\varnothing\) या \(B=\varnothing\)\(A=\varnothing\) or \(B=\varnothing\)
Concept
A Cartesian product is empty when at least one set is empty. In exams, both sets need not be empty.
Why this answer is correct
The correct answer is B. \(A=\varnothing\) या \(B=\varnothing\) / \(A=\varnothing\) or \(B=\varnothing\). A Cartesian product is empty when at least one set is empty. In exams, both sets need not be empty.
Exam Tip
कार्तीय गुणन खाली तभी होता है जब कम से कम एक समुच्चय खाली हो। परीक्षा में दोनों के खाली होने की जरूरत नहीं होती।
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