यदि \(U=\{a,b,c,d\}\), \(A=\{a,b\}\) और \(B=\{b,c\}\) हैं, तो (\(A\cap B\)') क्या होगा?

If \(U=\{a,b,c,d\}\), \(A=\{a,b\}\), and \(B=\{b,c\}\), what is (\(A\cap B\)')?

Explanation opens after your attempt
Correct Answer

B. ({a,c,d})

Step 1

Concept

\(A\cap B={b}\), so its complement is all elements of (U) except (b). Hence ({a,c,d}) is correct.

Step 2

Why this answer is correct

The correct answer is B. ({a,c,d}). \(A\cap B={b}\), so its complement is all elements of (U) except (b). Hence ({a,c,d}) is correct.

Step 3

Exam Tip

\(A\cap B={b}\) है, इसलिए उसका पूरक (U) में (b) को छोड़कर बाकी तत्व हैं। अतः ({a,c,d}) सही है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{a,b,c,d\}\), \(A=\{a,b\}\) और \(B=\{b,c\}\) हैं, तो (\(A\cap B\)') क्या होगा? / If \(U=\{a,b,c,d\}\), \(A=\{a,b\}\), and \(B=\{b,c\}\), what is (\(A\cap B\)')?

Correct Answer: B. ({a,c,d}). Explanation: \(A\cap B={b}\) है, इसलिए उसका पूरक (U) में (b) को छोड़कर बाकी तत्व हैं। अतः ({a,c,d}) सही है। / \(A\cap B={b}\), so its complement is all elements of (U) except (b). Hence ({a,c,d}) is correct.

Which concept should I revise for this Mathematics MCQ?

\(A\cap B={b}\), so its complement is all elements of (U) except (b). Hence ({a,c,d}) is correct.

What exam hint can help solve this Mathematics question?

\(A\cap B={b}\) है, इसलिए उसका पूरक (U) में (b) को छोड़कर बाकी तत्व हैं। अतः ({a,c,d}) सही है।