Class 11 Mathematics Sets Operations on Sets (Union, Intersection, Difference) Expert Level 16

यदि \(U={1,2,\ldots,12}\), \(A=\{2,3,5,7,11\}\) और \(B=\{1,3,5,9,11\}\), तो (\(A\cup B\)') क्या है?

If \(U={1,2,\ldots,12}\), \(A=\{2,3,5,7,11\}\) and \(B=\{1,3,5,9,11\}\), what is (\(A\cup B\)')?

Explanation opens after your attempt
Correct Answer

A. ({4,6,8,10,12})

Step 1

Concept

\(A\cup B={1,2,3,5,7,9,11}\), so remaining elements in (U) are ({4,6,8,10,12}). The universal set is essential for complements.

Step 2

Why this answer is correct

The correct answer is A. ({4,6,8,10,12}). \(A\cup B={1,2,3,5,7,9,11}\), so remaining elements in (U) are ({4,6,8,10,12}). The universal set is essential for complements.

Step 3

Exam Tip

\(A\cup B={1,2,3,5,7,9,11}\), इसलिए (U) में बचे तत्व ({4,6,8,10,12}) हैं। पूरक निकालते समय (U) जरूरी है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U={1,2,\ldots,12}\), \(A=\{2,3,5,7,11\}\) और \(B=\{1,3,5,9,11\}\), तो (\(A\cup B\)') क्या है? / If \(U={1,2,\ldots,12}\), \(A=\{2,3,5,7,11\}\) and \(B=\{1,3,5,9,11\}\), what is (\(A\cup B\)')?

Correct Answer: A. ({4,6,8,10,12}). Explanation: \(A\cup B={1,2,3,5,7,9,11}\), इसलिए (U) में बचे तत्व ({4,6,8,10,12}) हैं। पूरक निकालते समय (U) जरूरी है। / \(A\cup B={1,2,3,5,7,9,11}\), so remaining elements in (U) are ({4,6,8,10,12}). The universal set is essential for complements.

Which concept should I revise for this Mathematics MCQ?

\(A\cup B={1,2,3,5,7,9,11}\), so remaining elements in (U) are ({4,6,8,10,12}). The universal set is essential for complements.

What exam hint can help solve this Mathematics question?

\(A\cup B={1,2,3,5,7,9,11}\), इसलिए (U) में बचे तत्व ({4,6,8,10,12}) हैं। पूरक निकालते समय (U) जरूरी है।