यदि \(A=\{5,10\}\) और \(B=\varnothing\) हैं, तो \(A\times B\) क्या होगा?

If \(A=\{5,10\}\) and \(B=\varnothing\), what is \(A\times B\)?

Explanation opens after your attempt
Correct Answer

C. \(\varnothing\)

Step 1

Concept

The second component must come from (B), but \(B=\varnothing\). Hence no ordered pair is formed and the product is \(\varnothing\).

Step 2

Why this answer is correct

The correct answer is C. \(\varnothing\). The second component must come from (B), but \(B=\varnothing\). Hence no ordered pair is formed and the product is \(\varnothing\).

Step 3

Exam Tip

दूसरा घटक (B) से लेना होता है पर \(B=\varnothing\) है। इसलिए कोई क्रमित युग्म नहीं बनेगा और गुणन \(\varnothing\) होगा।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{5,10\}\) और \(B=\varnothing\) हैं, तो \(A\times B\) क्या होगा? / If \(A=\{5,10\}\) and \(B=\varnothing\), what is \(A\times B\)?

Correct Answer: C. \(\varnothing\). Explanation: दूसरा घटक (B) से लेना होता है पर \(B=\varnothing\) है। इसलिए कोई क्रमित युग्म नहीं बनेगा और गुणन \(\varnothing\) होगा। / The second component must come from (B), but \(B=\varnothing\). Hence no ordered pair is formed and the product is \(\varnothing\).

Which concept should I revise for this Mathematics MCQ?

The second component must come from (B), but \(B=\varnothing\). Hence no ordered pair is formed and the product is \(\varnothing\).

What exam hint can help solve this Mathematics question?

दूसरा घटक (B) से लेना होता है पर \(B=\varnothing\) है। इसलिए कोई क्रमित युग्म नहीं बनेगा और गुणन \(\varnothing\) होगा।