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

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

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

Explanation opens after your attempt
Correct Answer

A. ({3,5,9,11})

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

(A^c\cap B^c=\(A\cup B\)^c) है। \(A\cup B={1,2,4,6,7,8,10}\), इसलिए बचे तत्व ({3,5,9,11}) हैं।

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Mathematics Answer, Explanation and Revision Hints

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

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

Which concept should I revise for this Mathematics MCQ?

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

What exam hint can help solve this Mathematics question?

(A^c\cap B^c=\(A\cup B\)^c) है। \(A\cup B={1,2,4,6,7,8,10}\), इसलिए बचे तत्व ({3,5,9,11}) हैं।