यदि \(A\cup B=A\cap B\) है, तो कौन-सा निष्कर्ष सदैव सत्य है?

If \(A\cup B=A\cap B\), which conclusion is always true?

Explanation opens after your attempt
Correct Answer

A. (A=B)

Step 1

Concept

The union and intersection can be equal only when the two sets are equal. Hence (A=B).

Step 2

Why this answer is correct

The correct answer is A. (A=B). The union and intersection can be equal only when the two sets are equal. Hence (A=B).

Step 3

Exam Tip

संघ और प्रतिच्छेद तभी समान हो सकते हैं जब दोनों समुच्चय समान हों। अतः (A=B) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A\cup B=A\cap B\) है, तो कौन-सा निष्कर्ष सदैव सत्य है? / If \(A\cup B=A\cap B\), which conclusion is always true?

Correct Answer: A. (A=B). Explanation: संघ और प्रतिच्छेद तभी समान हो सकते हैं जब दोनों समुच्चय समान हों। अतः (A=B) है। / The union and intersection can be equal only when the two sets are equal. Hence (A=B).

Which concept should I revise for this Mathematics MCQ?

The union and intersection can be equal only when the two sets are equal. Hence (A=B).

What exam hint can help solve this Mathematics question?

संघ और प्रतिच्छेद तभी समान हो सकते हैं जब दोनों समुच्चय समान हों। अतः (A=B) है।