Class 11 Mathematics Sets Complement of a Set and its properties Medium Level 19

यदि \(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{2,4,6,8,10,12\}\) और \(B=\{3,6,9,12\}\) है, तो \(A^c\cap B^c\) क्या होगा?

If \(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{2,4,6,8,10,12\}\), and \(B=\{3,6,9,12\}\), what is \(A^c\cap B^c\)?

Explanation opens after your attempt
Correct Answer

A. ({1,5,7,11})

Step 1

Concept

(A^c\cap B^c=\(A\cup B\)^c). Since \(A\cup B={2,3,4,6,8,9,10,12}\), the remaining elements are the answer.

Step 2

Why this answer is correct

The correct answer is A. ({1,5,7,11}). (A^c\cap B^c=\(A\cup B\)^c). Since \(A\cup B={2,3,4,6,8,9,10,12}\), the remaining elements are the answer.

Step 3

Exam Tip

(A^c\cap B^c=\(A\cup B\)^c) होता है। \(A\cup B={2,3,4,6,8,9,10,12}\), इसलिए बचे तत्व उत्तर हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{2,4,6,8,10,12\}\) और \(B=\{3,6,9,12\}\) है, तो \(A^c\cap B^c\) क्या होगा? / If \(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{2,4,6,8,10,12\}\), and \(B=\{3,6,9,12\}\), what is \(A^c\cap B^c\)?

Correct Answer: A. ({1,5,7,11}). Explanation: (A^c\cap B^c=\(A\cup B\)^c) होता है। \(A\cup B={2,3,4,6,8,9,10,12}\), इसलिए बचे तत्व उत्तर हैं। / (A^c\cap B^c=\(A\cup B\)^c). Since \(A\cup B={2,3,4,6,8,9,10,12}\), the remaining elements are the answer.

Which concept should I revise for this Mathematics MCQ?

(A^c\cap B^c=\(A\cup B\)^c). Since \(A\cup B={2,3,4,6,8,9,10,12}\), the remaining elements are the answer.

What exam hint can help solve this Mathematics question?

(A^c\cap B^c=\(A\cup B\)^c) होता है। \(A\cup B={2,3,4,6,8,9,10,12}\), इसलिए बचे तत्व उत्तर हैं।