यदि \(A\setminus B=A\cap C\) और \(A\cap B=A\setminus C\), तो \(A\cap B\cap C\) क्या होगा?
If \(A\setminus B=A\cap C\) and \(A\cap B=A\setminus C\), what is \(A\cap B\cap C\)?
Explanation opens after your attempt
A. \(\varnothing\)
Concept
Since \(A\cap B=A\setminus C\), no element of \(A\cap B\) lies in (C). Hence \(A\cap B\cap C=\varnothing\).
Why this answer is correct
The correct answer is A. \(\varnothing\). Since \(A\cap B=A\setminus C\), no element of \(A\cap B\) lies in (C). Hence \(A\cap B\cap C=\varnothing\).
Exam Tip
\(A\cap B=A\setminus C\) होने से \(A\cap B\) का कोई तत्व (C) में नहीं है। इसलिए \(A\cap B\cap C=\varnothing\) है।
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