यदि \(A={\emptyset,{1},2}\) है, तो निम्न में से कौन (\mathcal{P}(A)) का तत्व है?

If \(A={\emptyset,{1},2}\), which of the following is an element of (\mathcal{P}(A))?

Explanation opens after your attempt
Correct Answer

A. \({\emptyset,2}\)

Step 1

Concept

\({\emptyset,2}\) is a subset of (A), so it is an element of the power set. (1) and ({2}) are not elements of (A).

Step 2

Why this answer is correct

The correct answer is A. \({\emptyset,2}\). \({\emptyset,2}\) is a subset of (A), so it is an element of the power set. (1) and ({2}) are not elements of (A).

Step 3

Exam Tip

\({\emptyset,2}\), (A) का उपसमुच्चय है, इसलिए यह घात समुच्चय का तत्व है। (1) और ({2}), (A) के तत्व नहीं हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A={\emptyset,{1},2}\) है, तो निम्न में से कौन (\mathcal{P}(A)) का तत्व है? / If \(A={\emptyset,{1},2}\), which of the following is an element of (\mathcal{P}(A))?

Correct Answer: A. \({\emptyset,2}\). Explanation: \({\emptyset,2}\), (A) का उपसमुच्चय है, इसलिए यह घात समुच्चय का तत्व है। (1) और ({2}), (A) के तत्व नहीं हैं। / \({\emptyset,2}\) is a subset of (A), so it is an element of the power set. (1) and ({2}) are not elements of (A).

Which concept should I revise for this Mathematics MCQ?

\({\emptyset,2}\) is a subset of (A), so it is an element of the power set. (1) and ({2}) are not elements of (A).

What exam hint can help solve this Mathematics question?

\({\emptyset,2}\), (A) का उपसमुच्चय है, इसलिए यह घात समुच्चय का तत्व है। (1) और ({2}), (A) के तत्व नहीं हैं।