यदि \(A\cap A^{c}\) पूछा जाए, तो इसका मान क्या होगा?

If \(A\cap A^{c}\) is asked, what will be its value?

Explanation opens after your attempt
Correct Answer

D. \(\varnothing\)

Step 1

Concept

No element can be in both (A) and \(A^{c}\) at the same time. Therefore, \(A\cap A^{c}=\varnothing\).

Step 2

Why this answer is correct

The correct answer is D. \(\varnothing\). No element can be in both (A) and \(A^{c}\) at the same time. Therefore, \(A\cap A^{c}=\varnothing\).

Step 3

Exam Tip

कोई अवयव एक साथ (A) और \(A^{c}\) दोनों में नहीं हो सकता। इसलिए \(A\cap A^{c}=\varnothing\) होता है।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(A\cap A^{c}\) पूछा जाए, तो इसका मान क्या होगा? / If \(A\cap A^{c}\) is asked, what will be its value?

Correct Answer: D. \(\varnothing\). Explanation: कोई अवयव एक साथ (A) और \(A^{c}\) दोनों में नहीं हो सकता। इसलिए \(A\cap A^{c}=\varnothing\) होता है। / No element can be in both (A) and \(A^{c}\) at the same time. Therefore, \(A\cap A^{c}=\varnothing\).

Which concept should I revise for this Mathematics MCQ?

No element can be in both (A) and \(A^{c}\) at the same time. Therefore, \(A\cap A^{c}=\varnothing\).

What exam hint can help solve this Mathematics question?

कोई अवयव एक साथ (A) और \(A^{c}\) दोनों में नहीं हो सकता। इसलिए \(A\cap A^{c}=\varnothing\) होता है।