यदि \(U=\{1,2,3,4,5,6,7,8\}\) और \(A=\{3,4,5,6\}\) है, तो \(A'\cap A\) कौन सा है?

If \(U=\{1,2,3,4,5,6,7,8\}\) and \(A=\{3,4,5,6\}\), which is \(A'\cap A\)?

Explanation opens after your attempt
Correct Answer

A. \(\varnothing\)

Step 1

Concept

(A) and (A') are disjoint, so their intersection is \(\varnothing\). No element of (A) remains in its complement.

Step 2

Why this answer is correct

The correct answer is A. \(\varnothing\). (A) and (A') are disjoint, so their intersection is \(\varnothing\). No element of (A) remains in its complement.

Step 3

Exam Tip

(A) और (A') असंयुक्त होते हैं, इसलिए उनका प्रतिच्छेद \(\varnothing\) है। पूरक में (A) का कोई अवयव नहीं रहता।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6,7,8\}\) और \(A=\{3,4,5,6\}\) है, तो \(A'\cap A\) कौन सा है? / If \(U=\{1,2,3,4,5,6,7,8\}\) and \(A=\{3,4,5,6\}\), which is \(A'\cap A\)?

Correct Answer: A. \(\varnothing\). Explanation: (A) और (A') असंयुक्त होते हैं, इसलिए उनका प्रतिच्छेद \(\varnothing\) है। पूरक में (A) का कोई अवयव नहीं रहता। / (A) and (A') are disjoint, so their intersection is \(\varnothing\). No element of (A) remains in its complement.

Which concept should I revise for this Mathematics MCQ?

(A) and (A') are disjoint, so their intersection is \(\varnothing\). No element of (A) remains in its complement.

What exam hint can help solve this Mathematics question?

(A) और (A') असंयुक्त होते हैं, इसलिए उनका प्रतिच्छेद \(\varnothing\) है। पूरक में (A) का कोई अवयव नहीं रहता।