यदि \(A={\varnothing,{1},2}\), तो कौन सा (\mathcal{P}(A)) का तत्व नहीं है?

If \(A={\varnothing,{1},2}\), which one is not an element of (\mathcal{P}(A))?

Explanation opens after your attempt
Correct Answer

C. ({1,2})

Step 1

Concept

({1,2}) contains (1), but (1) itself is not an element of (A). Elements of a power set are always subsets of the original set.

Step 2

Why this answer is correct

The correct answer is C. ({1,2}). ({1,2}) contains (1), but (1) itself is not an element of (A). Elements of a power set are always subsets of the original set.

Step 3

Exam Tip

({1,2}) में (1) है, लेकिन (1) स्वयं (A) का तत्व नहीं है। घात समुच्चय के तत्व हमेशा मूल समुच्चय के उपसमुच्चय होते हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A={\varnothing,{1},2}\), तो कौन सा (\mathcal{P}(A)) का तत्व नहीं है? / If \(A={\varnothing,{1},2}\), which one is not an element of (\mathcal{P}(A))?

Correct Answer: C. ({1,2}). Explanation: ({1,2}) में (1) है, लेकिन (1) स्वयं (A) का तत्व नहीं है। घात समुच्चय के तत्व हमेशा मूल समुच्चय के उपसमुच्चय होते हैं। / ({1,2}) contains (1), but (1) itself is not an element of (A). Elements of a power set are always subsets of the original set.

Which concept should I revise for this Mathematics MCQ?

({1,2}) contains (1), but (1) itself is not an element of (A). Elements of a power set are always subsets of the original set.

What exam hint can help solve this Mathematics question?

({1,2}) में (1) है, लेकिन (1) स्वयं (A) का तत्व नहीं है। घात समुच्चय के तत्व हमेशा मूल समुच्चय के उपसमुच्चय होते हैं।