यदि \(A=\{1,2,3\}\), तो \(A\cap \varnothing\) क्या है?

If \(A=\{1,2,3\}\), what is \(A\cap \varnothing\)?

Explanation opens after your attempt
Correct Answer

C. \( \varnothing \)

Step 1

Concept

The empty set has no element, so there is no common element. Thus the intersection is \(\varnothing\).

Step 2

Why this answer is correct

The correct answer is C. \( \varnothing \). The empty set has no element, so there is no common element. Thus the intersection is \(\varnothing\).

Step 3

Exam Tip

रिक्त समुच्चय में कोई अवयव नहीं है, इसलिए कोई सामान्य अवयव नहीं मिलेगा। अतः प्रतिच्छेद \(\varnothing\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3\}\), तो \(A\cap \varnothing\) क्या है? / If \(A=\{1,2,3\}\), what is \(A\cap \varnothing\)?

Correct Answer: C. \( \varnothing \). Explanation: रिक्त समुच्चय में कोई अवयव नहीं है, इसलिए कोई सामान्य अवयव नहीं मिलेगा। अतः प्रतिच्छेद \(\varnothing\) है। / The empty set has no element, so there is no common element. Thus the intersection is \(\varnothing\).

Which concept should I revise for this Mathematics MCQ?

The empty set has no element, so there is no common element. Thus the intersection is \(\varnothing\).

What exam hint can help solve this Mathematics question?

रिक्त समुच्चय में कोई अवयव नहीं है, इसलिए कोई सामान्य अवयव नहीं मिलेगा। अतः प्रतिच्छेद \(\varnothing\) है।