यदि \(A\cap B=A\cap C\) और \(A'\cap B=A'\cap C\), तो (B) और (C) के बारे में सही निष्कर्ष क्या है?

If \(A\cap B=A\cap C\) and \(A'\cap B=A'\cap C\), what is the correct conclusion about (B) and (C)?

Explanation opens after your attempt
Correct Answer

A. (B=C)

Step 1

Concept

(B=\(A\cap B\)\cup\(A'\cap B\)) and (C=\(A\cap C\)\cup\(A'\cap C\)), so (B=C). (A) and (A') partition (U).

Step 2

Why this answer is correct

The correct answer is A. (B=C). (B=\(A\cap B\)\cup\(A'\cap B\)) and (C=\(A\cap C\)\cup\(A'\cap C\)), so (B=C). (A) and (A') partition (U).

Step 3

Exam Tip

(B=\(A\cap B\)\cup\(A'\cap B\)) और (C=\(A\cap C\)\cup\(A'\cap C\)), इसलिए (B=C)। (A) और (A') पूरे (U) को बांटते हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A\cap B=A\cap C\) और \(A'\cap B=A'\cap C\), तो (B) और (C) के बारे में सही निष्कर्ष क्या है? / If \(A\cap B=A\cap C\) and \(A'\cap B=A'\cap C\), what is the correct conclusion about (B) and (C)?

Correct Answer: A. (B=C). Explanation: (B=\(A\cap B\)\cup\(A'\cap B\)) और (C=\(A\cap C\)\cup\(A'\cap C\)), इसलिए (B=C)। (A) और (A') पूरे (U) को बांटते हैं। / (B=\(A\cap B\)\cup\(A'\cap B\)) and (C=\(A\cap C\)\cup\(A'\cap C\)), so (B=C). (A) and (A') partition (U).

Which concept should I revise for this Mathematics MCQ?

(B=\(A\cap B\)\cup\(A'\cap B\)) and (C=\(A\cap C\)\cup\(A'\cap C\)), so (B=C). (A) and (A') partition (U).

What exam hint can help solve this Mathematics question?

(B=\(A\cap B\)\cup\(A'\cap B\)) और (C=\(A\cap C\)\cup\(A'\cap C\)), इसलिए (B=C)। (A) और (A') पूरे (U) को बांटते हैं।