Class 11 Mathematics Sets Complement of a Set and its properties Medium Level 21

यदि \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,2,5,8\}\) और \(C=\{3,4,6,7\}\), तो कौन सा कथन सही है?

If \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,2,5,8\}\), and \(C=\{3,4,6,7\}\), which statement is correct?

Explanation opens after your attempt
Correct Answer

A. \(C=A^{c}\)

Step 1

Concept

The elements left in (U) outside (A) are ({3,4,6,7}), which is (C). Compare with (U) to identify a complement.

Step 2

Why this answer is correct

The correct answer is A. \(C=A^{c}\). The elements left in (U) outside (A) are ({3,4,6,7}), which is (C). Compare with (U) to identify a complement.

Step 3

Exam Tip

(A) के बाहर (U) में ({3,4,6,7}) बचते हैं, जो (C) है। पूरक पहचानने के लिए (U) से तुलना करें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,2,5,8\}\) और \(C=\{3,4,6,7\}\), तो कौन सा कथन सही है? / If \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,2,5,8\}\), and \(C=\{3,4,6,7\}\), which statement is correct?

Correct Answer: A. \(C=A^{c}\). Explanation: (A) के बाहर (U) में ({3,4,6,7}) बचते हैं, जो (C) है। पूरक पहचानने के लिए (U) से तुलना करें। / The elements left in (U) outside (A) are ({3,4,6,7}), which is (C). Compare with (U) to identify a complement.

Which concept should I revise for this Mathematics MCQ?

The elements left in (U) outside (A) are ({3,4,6,7}), which is (C). Compare with (U) to identify a complement.

What exam hint can help solve this Mathematics question?

(A) के बाहर (U) में ({3,4,6,7}) बचते हैं, जो (C) है। पूरक पहचानने के लिए (U) से तुलना करें।