यदि (A), (B), (C) के लिए \(A\cap B=A\cap C\) है, तो कौन-सा कथन निश्चित रूप से सत्य है?
If for (A), (B), (C), \(A\cap B=A\cap C\), which statement is definitely true?
Explanation opens after your attempt
Correct Answer
A. (A\cap\(B\triangle C\)=\varnothing)
Concept
Inside (A), the parts of (B) and (C) are the same, so no symmetric difference remains within (A). Do not conclude full (B=C) from equal intersections.
Why this answer is correct
The correct answer is A. (A\cap\(B\triangle C\)=\varnothing). Inside (A), the parts of (B) and (C) are the same, so no symmetric difference remains within (A). Do not conclude full (B=C) from equal intersections.
Exam Tip
(A) के अंदर (B) और (C) का हिस्सा समान है, इसलिए (A) में उनका सममित अंतर नहीं बचेगा। समान प्रतिच्छेद से पूरे (B=C) निष्कर्ष न निकालें।
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