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complement-pair MCQ Questions for Class 11

complement-pair se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

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2 questions tagged with complement-pair.

Question 1/2 Easy Mathematics Permutations and Combinations Derivations of formulas and their connections Class 11 Level 66

\(^{n}C_r\) को \(^{n}C_{n-r}\) से जोड़ने में कौन-सा pair बनता है?

Which pair is formed when connecting \(^{n}C_r\) with \(^{n}C_{n-r}\)?

Explanation opens after your attempt
Correct Answer

A. chosen group और rejected groupchosen group and rejected group

Step 1

Concept

Each selection has a unique rejected group. In exams understand the identity by forming a complementary pair.

Step 2

Why this answer is correct

The correct answer is A. chosen group और rejected group / chosen group and rejected group. Each selection has a unique rejected group. In exams understand the identity by forming a complementary pair.

Step 3

Exam Tip

हर selection का एक unique rejected group होता है। परीक्षा में complementary pair बनाकर identity समझें।

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Question 2/2 Medium Mathematics Sets Complement of a Set and its properties Class 11 Level 21

यदि \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{2,3,5,7\}\) और \(B=\{1,4,6,8,9,10\}\), तो कौन सा कथन (A) और (B) के लिए सही है?

If \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{2,3,5,7\}\), and \(B=\{1,4,6,8,9,10\}\), which statement is correct for (A) and (B)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

The elements outside (A) in (U) are exactly the elements of (B), so \(B=A^{c}\). Also, (A) and (B) are disjoint.

Step 2

Why this answer is correct

The correct answer is A. \(B=A^{c}\). The elements outside (A) in (U) are exactly the elements of (B), so \(B=A^{c}\). Also, (A) and (B) are disjoint.

Step 3

Exam Tip

(A) के बाहर (U) में ठीक (B) के अवयव हैं, इसलिए \(B=A^{c}\)। साथ ही (A) और (B) असंपाती हैं।

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