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boundary-points MCQ Questions for Class 11

boundary-points 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 boundary-points.

Question 1/2 Expert Mathematics Sets Complement of a Set and its properties Class 11 Level 20

\(यदि (U=\mathbb{R}) और (A={x:x \in \mathbb{R},x\le -1\) या \(x>3}), तो (A') क्या है\)?

\(If (U=\mathbb{R}) and (A={x:x \in \mathbb{R},x\le -1\) or \(x>3}), what is (A')\)?

Explanation opens after your attempt
Correct Answer

A. ((-1,3])

Step 1

Concept

(A) includes (-1), so it is not in the complement. The point (3) is not in (A), so it is included in the complement.

Step 2

Why this answer is correct

The correct answer is A. ((-1,3]). (A) includes (-1), so it is not in the complement. The point (3) is not in (A), so it is included in the complement.

Step 3

Exam Tip

(A) में (-1) शामिल है, इसलिए पूरक में नहीं आएगा। (3) (A) में नहीं है, इसलिए पूरक में शामिल होगा।

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Question 2/2 Expert Mathematics Sets Complement of a Set and its properties Class 11 Level 19

यदि \(U=\mathbb{R}\) और (A=[-2,4)), तो (A') क्या है?

If \(U=\mathbb{R}\) and (A=[-2,4)), what is (A')?

Explanation opens after your attempt
Correct Answer

A. (\(-\infty,-2\) \cup [4,\infty))

Step 1

Concept

(-2) is in (A), so it is not in the complement, while (4) is not in (A), so it is in the complement.

Step 2

Why this answer is correct

The correct answer is A. (\(-\infty,-2\) \cup [4,\infty)). (-2) is in (A), so it is not in the complement, while (4) is not in (A), so it is in the complement.

Step 3

Exam Tip

(-2) समुच्चय (A) में है इसलिए पूरक में नहीं आएगा, पर (4) (A) में नहीं है इसलिए पूरक में आएगा।

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