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level 9 MCQ Questions for Class 11

level 9 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 level 9.

Question 1/2 Hard Mathematics Sets Equal sets and Subsets Class 11 Level 9

यदि \(A=\{a,b,c,d,e\}\), तो ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें (a) हो, (c) न हो और ठीक 3 अवयव हों?

If \(A=\{a,b,c,d,e\}\), how many subsets contain (a), do not contain (c), and have exactly 3 elements?

Explanation opens after your attempt
Correct Answer

B. 3

Step 1

Concept

(a) is fixed and (c) is excluded, so choose 2 from (b,d,e). The number is \(\binom{3}{2}=3\).

Step 2

Why this answer is correct

The correct answer is B. 3. (a) is fixed and (c) is excluded, so choose 2 from (b,d,e). The number is \(\binom{3}{2}=3\).

Step 3

Exam Tip

(a) निश्चित है और (c) हटाया गया है, इसलिए (b,d,e) में से 2 चुनने हैं। संख्या \(\binom{3}{2}=3\) है।

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Question 2/2 Hard Mathematics Sets Equal sets and Subsets Class 11 Level 9

यदि \(A={x:x\in \mathbb{Z}, x^2-4x+3=0}\) और \(B=\{1,3\}\), तो सही संबंध कौन सा है?

If \(A={x:x\in \mathbb{Z}, x^2-4x+3=0}\) and \(B=\{1,3\}\), which relation is correct?

Explanation opens after your attempt
Correct Answer

A. (A=B)

Step 1

Concept

The equation gives ((x-1)(x-3)=0), so \(A=\{1,3\}\). Equal sets have the same elements, order is not important.

Step 2

Why this answer is correct

The correct answer is A. (A=B). The equation gives ((x-1)(x-3)=0), so \(A=\{1,3\}\). Equal sets have the same elements, order is not important.

Step 3

Exam Tip

समीकरण से ((x-1)(x-3)=0), इसलिए \(A=\{1,3\}\)। बराबर समुच्चय में अवयव वही होते हैं, क्रम जरूरी नहीं।

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