यदि (A=U) है, तो (\mathcal{P}(A)) और (\mathcal{P}(U)) के बारे में कौन सा कथन सही है?

If (A=U), which statement about (\mathcal{P}(A)) and (\mathcal{P}(U)) is correct?

Explanation opens after your attempt
Correct Answer

A. (\mathcal{P}(A)=\mathcal{P}(U))

Step 1

Concept

Equal sets have exactly the same subsets. Therefore their power sets are equal.

Step 2

Why this answer is correct

The correct answer is A. (\mathcal{P}(A)=\mathcal{P}(U)). Equal sets have exactly the same subsets. Therefore their power sets are equal.

Step 3

Exam Tip

समान समुच्चयों के सभी उपसमुच्चय भी समान होते हैं। इसलिए उनके घात समुच्चय बराबर होंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि (A=U) है, तो (\mathcal{P}(A)) और (\mathcal{P}(U)) के बारे में कौन सा कथन सही है? / If (A=U), which statement about (\mathcal{P}(A)) and (\mathcal{P}(U)) is correct?

Correct Answer: A. (\mathcal{P}(A)=\mathcal{P}(U)). Explanation: समान समुच्चयों के सभी उपसमुच्चय भी समान होते हैं। इसलिए उनके घात समुच्चय बराबर होंगे। / Equal sets have exactly the same subsets. Therefore their power sets are equal.

Which concept should I revise for this Mathematics MCQ?

Equal sets have exactly the same subsets. Therefore their power sets are equal.

What exam hint can help solve this Mathematics question?

समान समुच्चयों के सभी उपसमुच्चय भी समान होते हैं। इसलिए उनके घात समुच्चय बराबर होंगे।