यदि \(A=\{1,2,3\}\) और \(B=\varnothing\) हैं, तो \(B\times A\) क्या होगा?
If \(A=\{1,2,3\}\) and \(B=\varnothing\), what is \(B\times A\)?
Explanation opens after your attempt
Correct Answer
A. \(\varnothing\)
Concept
No first component can be taken from the empty set, so no ordered pair is formed. If either side is empty, the Cartesian product is \(\varnothing\).
Why this answer is correct
The correct answer is A. \(\varnothing\). No first component can be taken from the empty set, so no ordered pair is formed. If either side is empty, the Cartesian product is \(\varnothing\).
Exam Tip
रिक्त समुच्चय से पहला घटक नहीं लिया जा सकता, इसलिए कोई क्रमित युग्म नहीं बनेगा। किसी भी तरफ रिक्त समुच्चय हो तो कार्तीय गुणन \(\varnothing\) होता है।
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