यदि (\mathcal{P}\(A\cap B\)={\varnothing}), तो \(A\cap B\) क्या होगा?

If (\mathcal{P}\(A\cap B\)={\varnothing}), what is \(A\cap B\)?

Explanation opens after your attempt
Correct Answer

A. \(\varnothing\)

Step 1

Concept

The power set of a set is only \({\varnothing}\) exactly when the original set is \(\varnothing\). Therefore \(A\cap B=\varnothing\).

Step 2

Why this answer is correct

The correct answer is A. \(\varnothing\). The power set of a set is only \({\varnothing}\) exactly when the original set is \(\varnothing\). Therefore \(A\cap B=\varnothing\).

Step 3

Exam Tip

किसी सेट का पावर सेट केवल \({\varnothing}\) तभी होता है जब मूल सेट \(\varnothing\) हो। इसलिए \(A\cap B=\varnothing\) है।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि (\mathcal{P}\(A\cap B\)={\varnothing}), तो \(A\cap B\) क्या होगा? / If (\mathcal{P}\(A\cap B\)={\varnothing}), what is \(A\cap B\)?

Correct Answer: A. \(\varnothing\). Explanation: किसी सेट का पावर सेट केवल \({\varnothing}\) तभी होता है जब मूल सेट \(\varnothing\) हो। इसलिए \(A\cap B=\varnothing\) है। / The power set of a set is only \({\varnothing}\) exactly when the original set is \(\varnothing\). Therefore \(A\cap B=\varnothing\).

Which concept should I revise for this Mathematics MCQ?

The power set of a set is only \({\varnothing}\) exactly when the original set is \(\varnothing\). Therefore \(A\cap B=\varnothing\).

What exam hint can help solve this Mathematics question?

किसी सेट का पावर सेट केवल \({\varnothing}\) तभी होता है जब मूल सेट \(\varnothing\) हो। इसलिए \(A\cap B=\varnothing\) है।