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

If \(A=\{k\}\), which is (\mathcal{P}(A))?

Explanation opens after your attempt
Correct Answer

C. \({\varnothing,{k}}\)

Step 1

Concept

The subsets of a singleton set are \(\varnothing\) and the set itself. So the power set contains ({k}), not just (k).

Step 2

Why this answer is correct

The correct answer is C. \({\varnothing,{k}}\). The subsets of a singleton set are \(\varnothing\) and the set itself. So the power set contains ({k}), not just (k).

Step 3

Exam Tip

एकल समुच्चय के उपसमुच्चय \(\varnothing\) और वही समुच्चय होते हैं। इसलिए घात समुच्चय में ({k}) आएगा, केवल (k) नहीं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{k\}\) है, तो (\mathcal{P}(A)) कौन सा है? / If \(A=\{k\}\), which is (\mathcal{P}(A))?

Correct Answer: C. \({\varnothing,{k}}\). Explanation: एकल समुच्चय के उपसमुच्चय \(\varnothing\) और वही समुच्चय होते हैं। इसलिए घात समुच्चय में ({k}) आएगा, केवल (k) नहीं। / The subsets of a singleton set are \(\varnothing\) and the set itself. So the power set contains ({k}), not just (k).

Which concept should I revise for this Mathematics MCQ?

The subsets of a singleton set are \(\varnothing\) and the set itself. So the power set contains ({k}), not just (k).

What exam hint can help solve this Mathematics question?

एकल समुच्चय के उपसमुच्चय \(\varnothing\) और वही समुच्चय होते हैं। इसलिए घात समुच्चय में ({k}) आएगा, केवल (k) नहीं।