यदि \(A=\{0,{0}\}\), तो कौन सा (\mathcal{P}(A)) का सदस्य है?

If \(A=\{0,{0}\}\), which is an element of (\mathcal{P}(A))?

Explanation opens after your attempt
Correct Answer

A. ({0})

Step 1

Concept

({0}) is a subset of (A), so it is an element of (\mathcal{P}(A)). Elements of a power set are always subsets.

Step 2

Why this answer is correct

The correct answer is A. ({0}). ({0}) is a subset of (A), so it is an element of (\mathcal{P}(A)). Elements of a power set are always subsets.

Step 3

Exam Tip

({0}) समुच्चय (A) का उपसमुच्चय है, इसलिए यह (\mathcal{P}(A)) का सदस्य है। घात समुच्चय के सदस्य हमेशा उपसमुच्चय होते हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{0,{0}\}\), तो कौन सा (\mathcal{P}(A)) का सदस्य है? / If \(A=\{0,{0}\}\), which is an element of (\mathcal{P}(A))?

Correct Answer: A. ({0}). Explanation: ({0}) समुच्चय (A) का उपसमुच्चय है, इसलिए यह (\mathcal{P}(A)) का सदस्य है। घात समुच्चय के सदस्य हमेशा उपसमुच्चय होते हैं। / ({0}) is a subset of (A), so it is an element of (\mathcal{P}(A)). Elements of a power set are always subsets.

Which concept should I revise for this Mathematics MCQ?

({0}) is a subset of (A), so it is an element of (\mathcal{P}(A)). Elements of a power set are always subsets.

What exam hint can help solve this Mathematics question?

({0}) समुच्चय (A) का उपसमुच्चय है, इसलिए यह (\mathcal{P}(A)) का सदस्य है। घात समुच्चय के सदस्य हमेशा उपसमुच्चय होते हैं।