यदि \(A\setminus B=B\setminus A\), तो कौन सा निष्कर्ष सही है?

If \(A\setminus B=B\setminus A\), which conclusion is correct?

Explanation opens after your attempt
Correct Answer

A. (A=B)

Step 1

Concept

The sets \(A\setminus B\) and \(B\setminus A\) are always disjoint, so if they are equal, both are empty. Hence (A=B).

Step 2

Why this answer is correct

The correct answer is A. (A=B). The sets \(A\setminus B\) and \(B\setminus A\) are always disjoint, so if they are equal, both are empty. Hence (A=B).

Step 3

Exam Tip

\(A\setminus B\) और \(B\setminus A\) सदैव असंयुक्त होते हैं, इसलिए उनके बराबर होने पर दोनों खाली होंगे। अतः (A=B) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A\setminus B=B\setminus A\), तो कौन सा निष्कर्ष सही है? / If \(A\setminus B=B\setminus A\), which conclusion is correct?

Correct Answer: A. (A=B). Explanation: \(A\setminus B\) और \(B\setminus A\) सदैव असंयुक्त होते हैं, इसलिए उनके बराबर होने पर दोनों खाली होंगे। अतः (A=B) है। / The sets \(A\setminus B\) and \(B\setminus A\) are always disjoint, so if they are equal, both are empty. Hence (A=B).

Which concept should I revise for this Mathematics MCQ?

The sets \(A\setminus B\) and \(B\setminus A\) are always disjoint, so if they are equal, both are empty. Hence (A=B).

What exam hint can help solve this Mathematics question?

\(A\setminus B\) और \(B\setminus A\) सदैव असंयुक्त होते हैं, इसलिए उनके बराबर होने पर दोनों खाली होंगे। अतः (A=B) है।