यदि \(A'\cup B'=U\), तो \(A\cap B\) के बारे में कौन सा निष्कर्ष सही है?

If \(A'\cup B'=U\), what conclusion is correct about \(A\cap B\)?

Explanation opens after your attempt
Correct Answer

A. \(A\cap B=\varnothing\)

Step 1

Concept

(A'\cup B'=\(A\cap B\)'). If this is (U), then the complement of \(A\cap B\) is (U), so \(A\cap B=\varnothing\).

Step 2

Why this answer is correct

The correct answer is A. \(A\cap B=\varnothing\). (A'\cup B'=\(A\cap B\)'). If this is (U), then the complement of \(A\cap B\) is (U), so \(A\cap B=\varnothing\).

Step 3

Exam Tip

(A'\cup B'=\(A\cap B\)')। यदि यह (U) है, तो \(A\cap B\) का पूरक (U) है, इसलिए \(A\cap B=\varnothing\)।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(A'\cup B'=U\), तो \(A\cap B\) के बारे में कौन सा निष्कर्ष सही है? / If \(A'\cup B'=U\), what conclusion is correct about \(A\cap B\)?

Correct Answer: A. \(A\cap B=\varnothing\). Explanation: (A'\cup B'=\(A\cap B\)')। यदि यह (U) है, तो \(A\cap B\) का पूरक (U) है, इसलिए \(A\cap B=\varnothing\)। / (A'\cup B'=\(A\cap B\)'). If this is (U), then the complement of \(A\cap B\) is (U), so \(A\cap B=\varnothing\).

Which concept should I revise for this Mathematics MCQ?

(A'\cup B'=\(A\cap B\)'). If this is (U), then the complement of \(A\cap B\) is (U), so \(A\cap B=\varnothing\).

What exam hint can help solve this Mathematics question?

(A'\cup B'=\(A\cap B\)')। यदि यह (U) है, तो \(A\cap B\) का पूरक (U) है, इसलिए \(A\cap B=\varnothing\)।