यदि \(A=\{1,2,3\}\) और \(B=\varnothing\) हैं, तो \(A\times B\) क्या होगा?
If \(A=\{1,2,3\}\) and \(B=\varnothing\), what is \(A\times B\)?
Explanation opens after your attempt
Correct Answer
A. \(\varnothing\)
Concept
The Cartesian product of any set with an empty set is \(\varnothing\). If one set is empty, no ordered pair is formed.
Why this answer is correct
The correct answer is A. \(\varnothing\). The Cartesian product of any set with an empty set is \(\varnothing\). If one set is empty, no ordered pair is formed.
Exam Tip
किसी भी समुच्चय का रिक्त समुच्चय के साथ कार्तीय गुणन \(\varnothing\) होता है। यदि एक भी समुच्चय रिक्त हो तो कोई क्रमित युग्म नहीं बनता।
Login to save your score, XP, coins and progress.