Class 11 Mathematics Sets Complement of a Set and its properties Medium Level 20

यदि \(U={1,2,3,\ldots,12}\), \(A=\{1,2,3,4\}\) और \(B=\{3,4,5,6,7\}\) है, तो (\(A^c\cap B\)^c) क्या होगा?

If \(U={1,2,3,\ldots,12}\), \(A=\{1,2,3,4\}\), and \(B=\{3,4,5,6,7\}\), what is (\(A^c\cap B\)^c)?

Explanation opens after your attempt
Correct Answer

A. ({1,2,3,4,8,9,10,11,12})

Step 1

Concept

\(A^c={5,6,7,8,9,10,11,12}\) and \(A^c\cap B={5,6,7}\). Its complement is (U-{5,6,7}).

Step 2

Why this answer is correct

The correct answer is A. ({1,2,3,4,8,9,10,11,12}). \(A^c={5,6,7,8,9,10,11,12}\) and \(A^c\cap B={5,6,7}\). Its complement is (U-{5,6,7}).

Step 3

Exam Tip

\(A^c={5,6,7,8,9,10,11,12}\) और \(A^c\cap B={5,6,7}\) है। इसका पूरक (U-{5,6,7}) होगा।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U={1,2,3,\ldots,12}\), \(A=\{1,2,3,4\}\) और \(B=\{3,4,5,6,7\}\) है, तो (\(A^c\cap B\)^c) क्या होगा? / If \(U={1,2,3,\ldots,12}\), \(A=\{1,2,3,4\}\), and \(B=\{3,4,5,6,7\}\), what is (\(A^c\cap B\)^c)?

Correct Answer: A. ({1,2,3,4,8,9,10,11,12}). Explanation: \(A^c={5,6,7,8,9,10,11,12}\) और \(A^c\cap B={5,6,7}\) है। इसका पूरक (U-{5,6,7}) होगा। / \(A^c={5,6,7,8,9,10,11,12}\) and \(A^c\cap B={5,6,7}\). Its complement is (U-{5,6,7}).

Which concept should I revise for this Mathematics MCQ?

\(A^c={5,6,7,8,9,10,11,12}\) and \(A^c\cap B={5,6,7}\). Its complement is (U-{5,6,7}).

What exam hint can help solve this Mathematics question?

\(A^c={5,6,7,8,9,10,11,12}\) और \(A^c\cap B={5,6,7}\) है। इसका पूरक (U-{5,6,7}) होगा।