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

यदि \(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{1,2,3,4,5,6\}\) और \(B=\{2,4,6,8,10,12\}\) है, तो \(A^c\cup B^c\) में कितने तत्व होंगे?

If \(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{1,2,3,4,5,6\}\), and \(B=\{2,4,6,8,10,12\}\), how many elements are in \(A^c\cup B^c\)?

Explanation opens after your attempt
Correct Answer

A. (9)

Step 1

Concept

(A^c\cup B^c=\(A\cap B\)^c). Since \(A\cap B={2,4,6}\), the complement has (12-3=9) elements.

Step 2

Why this answer is correct

The correct answer is A. (9). (A^c\cup B^c=\(A\cap B\)^c). Since \(A\cap B={2,4,6}\), the complement has (12-3=9) elements.

Step 3

Exam Tip

(A^c\cup B^c=\(A\cap B\)^c) है। \(A\cap B={2,4,6}\), इसलिए पूरक में (12-3=9) तत्व होंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{1,2,3,4,5,6\}\) और \(B=\{2,4,6,8,10,12\}\) है, तो \(A^c\cup B^c\) में कितने तत्व होंगे? / If \(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{1,2,3,4,5,6\}\), and \(B=\{2,4,6,8,10,12\}\), how many elements are in \(A^c\cup B^c\)?

Correct Answer: A. (9). Explanation: (A^c\cup B^c=\(A\cap B\)^c) है। \(A\cap B={2,4,6}\), इसलिए पूरक में (12-3=9) तत्व होंगे। / (A^c\cup B^c=\(A\cap B\)^c). Since \(A\cap B={2,4,6}\), the complement has (12-3=9) elements.

Which concept should I revise for this Mathematics MCQ?

(A^c\cup B^c=\(A\cap B\)^c). Since \(A\cap B={2,4,6}\), the complement has (12-3=9) elements.

What exam hint can help solve this Mathematics question?

(A^c\cup B^c=\(A\cap B\)^c) है। \(A\cap B={2,4,6}\), इसलिए पूरक में (12-3=9) तत्व होंगे।