यदि \(A\cap B=A\cap C\) और \(A\setminus B=A\setminus C\), तो कौन सा निष्कर्ष अवश्य सत्य है?
If \(A\cap B=A\cap C\) and \(A\setminus B=A\setminus C\), which conclusion must be true?
Explanation opens after your attempt
Correct Answer
A. (A\cap\(B\triangle C\)=\varnothing)
Concept
Both conditions show that inside (A), membership in (B) and (C) is the same. Therefore (A) contains no element of \(B\triangle C\).
Why this answer is correct
The correct answer is A. (A\cap\(B\triangle C\)=\varnothing). Both conditions show that inside (A), membership in (B) and (C) is the same. Therefore (A) contains no element of \(B\triangle C\).
Exam Tip
दोनों शर्तें बताती हैं कि (A) के अंदर (B) और (C) की सदस्यता समान है। इसलिए (A) में \(B\triangle C\) का कोई तत्व नहीं है।
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