यदि \(A\cap B=A\cap B'\), तो कौन सा निष्कर्ष अवश्य सत्य है?
If \(A\cap B=A\cap B'\), which conclusion must be true?
Explanation opens after your attempt
Correct Answer
A. \(A=\varnothing\)
Concept
(B) and (B') are disjoint, so \(A\cap B\) and \(A\cap B'\) are also disjoint. Two equal disjoint sets must be \(\varnothing\), so \(A=\varnothing\) is necessary.
Why this answer is correct
The correct answer is A. \(A=\varnothing\). (B) and (B') are disjoint, so \(A\cap B\) and \(A\cap B'\) are also disjoint. Two equal disjoint sets must be \(\varnothing\), so \(A=\varnothing\) is necessary.
Exam Tip
(B) और (B') असंयुक्त होते हैं, इसलिए \(A\cap B\) और \(A\cap B'\) भी असंयुक्त हैं। दो असंयुक्त समान समुच्चय केवल \(\varnothing\) हो सकते हैं, इसलिए \(A=\varnothing\) आवश्यक है।
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