यदि \(A=\{1,2,3,4\}\), \(B=\{3,4,5,6\}\), तो (\mathcal{P}\(A\cap B\)\cap\mathcal{P}\(A\setminus B\)) क्या है?

If \(A=\{1,2,3,4\}\), \(B=\{3,4,5,6\}\), what is (\mathcal{P}\(A\cap B\)\cap\mathcal{P}\(A\setminus B\))?

Explanation opens after your attempt
Correct Answer

A. \({\varnothing}\)

Step 1

Concept

Here \(A\cap B={3,4}\) and \(A\setminus B={1,2}\) are disjoint. The only common subset in their power sets is \(\varnothing\).

Step 2

Why this answer is correct

The correct answer is A. \({\varnothing}\). Here \(A\cap B={3,4}\) and \(A\setminus B={1,2}\) are disjoint. The only common subset in their power sets is \(\varnothing\).

Step 3

Exam Tip

\(A\cap B={3,4}\) और \(A\setminus B={1,2}\) असंयुक्त हैं। इनके पावर सेटों में सामान्य उपसमुच्चय केवल \(\varnothing\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4\}\), \(B=\{3,4,5,6\}\), तो (\mathcal{P}\(A\cap B\)\cap\mathcal{P}\(A\setminus B\)) क्या है? / If \(A=\{1,2,3,4\}\), \(B=\{3,4,5,6\}\), what is (\mathcal{P}\(A\cap B\)\cap\mathcal{P}\(A\setminus B\))?

Correct Answer: A. \({\varnothing}\). Explanation: \(A\cap B={3,4}\) और \(A\setminus B={1,2}\) असंयुक्त हैं। इनके पावर सेटों में सामान्य उपसमुच्चय केवल \(\varnothing\) है। / Here \(A\cap B={3,4}\) and \(A\setminus B={1,2}\) are disjoint. The only common subset in their power sets is \(\varnothing\).

Which concept should I revise for this Mathematics MCQ?

Here \(A\cap B={3,4}\) and \(A\setminus B={1,2}\) are disjoint. The only common subset in their power sets is \(\varnothing\).

What exam hint can help solve this Mathematics question?

\(A\cap B={3,4}\) और \(A\setminus B={1,2}\) असंयुक्त हैं। इनके पावर सेटों में सामान्य उपसमुच्चय केवल \(\varnothing\) है।