Hard Mathematics Sets Class 11 Level 9

यदि \(A=\varnothing\) और \(B=\{0\}\), तो सही कथन कौन सा है?

If \(A=\varnothing\) and \(B=\{0\}\), which statement is correct?

Explanation opens after your attempt
Correct Answer

B. \(A\subset B\)

Step 1

Concept

The empty set is a subset of every set, and (B) is not empty. Hence (A) is a proper subset.

Step 2

Why this answer is correct

The correct answer is B. \(A\subset B\). The empty set is a subset of every set, and (B) is not empty. Hence (A) is a proper subset.

Step 3

Exam Tip

रिक्त समुच्चय हर समुच्चय का उपसमुच्चय है और (B) रिक्त नहीं है। इसलिए (A) उचित उपसमुच्चय है।

Related Mathematics Questions

FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(A=\varnothing\) और \(B=\{0\}\), तो सही कथन कौन सा है? / If \(A=\varnothing\) and \(B=\{0\}\), which statement is correct?

Correct Answer: B. \(A\subset B\). Explanation: रिक्त समुच्चय हर समुच्चय का उपसमुच्चय है और (B) रिक्त नहीं है। इसलिए (A) उचित उपसमुच्चय है। / The empty set is a subset of every set, and (B) is not empty. Hence (A) is a proper subset.

Which concept should I revise for this Mathematics MCQ?

The empty set is a subset of every set, and (B) is not empty. Hence (A) is a proper subset.

What exam hint can help solve this Mathematics question?

रिक्त समुच्चय हर समुच्चय का उपसमुच्चय है और (B) रिक्त नहीं है। इसलिए (A) उचित उपसमुच्चय है।

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