यदि \(A=\{5\}\) है, तो (\mathcal{P}(A)) क्या होगा?

If \(A=\{5\}\), what is (\mathcal{P}(A))?

Explanation opens after your attempt
Correct Answer

D. \({\varnothing,{5}}\)

Step 1

Concept

The subsets of a singleton set are \(\varnothing\) and the set itself. So ({5}), not (5), is an element of the power set.

Step 2

Why this answer is correct

The correct answer is D. \({\varnothing,{5}}\). The subsets of a singleton set are \(\varnothing\) and the set itself. So ({5}), not (5), is an element of the power set.

Step 3

Exam Tip

एकल समुच्चय के उपसमुच्चय \(\varnothing\) और वही समुच्चय होते हैं। इसलिए (5) नहीं, बल्कि ({5}) घात समुच्चय का तत्व है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{5\}\) है, तो (\mathcal{P}(A)) क्या होगा? / If \(A=\{5\}\), what is (\mathcal{P}(A))?

Correct Answer: D. \({\varnothing,{5}}\). Explanation: एकल समुच्चय के उपसमुच्चय \(\varnothing\) और वही समुच्चय होते हैं। इसलिए (5) नहीं, बल्कि ({5}) घात समुच्चय का तत्व है। / The subsets of a singleton set are \(\varnothing\) and the set itself. So ({5}), not (5), is an element of the power set.

Which concept should I revise for this Mathematics MCQ?

The subsets of a singleton set are \(\varnothing\) and the set itself. So ({5}), not (5), is an element of the power set.

What exam hint can help solve this Mathematics question?

एकल समुच्चय के उपसमुच्चय \(\varnothing\) और वही समुच्चय होते हैं। इसलिए (5) नहीं, बल्कि ({5}) घात समुच्चय का तत्व है।