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

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

Explanation opens after your attempt
Correct Answer

B. {(x)}

Step 1

Concept

The power set contains (A) itself as an element. Hence here \(A=\{x\}\).

Step 2

Why this answer is correct

The correct answer is B. {(x)}. The power set contains (A) itself as an element. Hence here \(A=\{x\}\).

Step 3

Exam Tip

घात समुच्चय में (A) स्वयं भी एक तत्व होता है। इसलिए यहां \(A=\{x\}\) है।

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Mathematics Answer, Explanation and Revision Hints

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

Correct Answer: B. {(x)}. Explanation: घात समुच्चय में (A) स्वयं भी एक तत्व होता है। इसलिए यहां \(A=\{x\}\) है। / The power set contains (A) itself as an element. Hence here \(A=\{x\}\).

Which concept should I revise for this Mathematics MCQ?

The power set contains (A) itself as an element. Hence here \(A=\{x\}\).

What exam hint can help solve this Mathematics question?

घात समुच्चय में (A) स्वयं भी एक तत्व होता है। इसलिए यहां \(A=\{x\}\) है।