Concept-wise Practice

single-point MCQ Questions for Class 11

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

Practice Questions

9 questions tagged with single-point.

असमानताओं \(x+y\leq 6\), \(x+y\geq 6\), \(x-y\leq 2\), \(x-y\geq 2\) का संयुक्त हल कौन सा है?

What is the common solution of \(x+y\leq 6\), \(x+y\geq 6\), \(x-y\leq 2\), and \(x-y\geq 2\)?

Explanation opens after your attempt
Correct Answer

D. केवल बिंदु ((4,2))Only the point ((4,2))

Step 1

Concept

The first two conditions give (x+y=6), and the next two give (x-y=2). Their intersection is ((4,2)).

Step 2

Why this answer is correct

The correct answer is D. केवल बिंदु ((4,2)) / Only the point ((4,2)). The first two conditions give (x+y=6), and the next two give (x-y=2). Their intersection is ((4,2)).

Step 3

Exam Tip

पहली दो शर्तें (x+y=6) और अगली दो शर्तें (x-y=2) देती हैं। दोनों रेखाओं का प्रतिच्छेद ((4,2)) है।

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यदि किसी हल क्षेत्र में \(x\ge 0\), \(y\ge 0\), और \(x+y\le 0\) हैं तो हल क्षेत्र क्या होगा?

If a solution region has \(x\ge 0\), \(y\ge 0\), and \(x+y\le 0\), what is the solution region?

Explanation opens after your attempt
Correct Answer

B. केवल ((0,0))only ((0,0))

Step 1

Concept

In the first quadrant, both (x) and (y) are non-negative. The condition \(x+y\le 0\) is possible only when both are (0).

Step 2

Why this answer is correct

The correct answer is B. केवल ((0,0)) / only ((0,0)). In the first quadrant, both (x) and (y) are non-negative. The condition \(x+y\le 0\) is possible only when both are (0).

Step 3

Exam Tip

प्रथम चतुर्थांश में (x) और (y) दोनों गैर-ऋणात्मक हैं। \(x+y\le 0\) तभी संभव है जब दोनों (0) हों।

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कौन सा संख्या रेखा चित्र ( x\in\( -\infty,-1]\cap[ -1,6 \) ) को दिखाता है?

Which number-line graph represents ( x\in\( -\infty,-1]\cap[ -1,6 \) )?

Explanation opens after your attempt
Correct Answer

B. सिर्फ ( -1 ) पर बंद बिंदुOnly a closed dot at ( -1 )

Step 1

Concept

The common part of both intervals is only ( -1 ). Since ( -1 ) is included in both, it becomes a closed dot.

Step 2

Why this answer is correct

The correct answer is B. सिर्फ ( -1 ) पर बंद बिंदु / Only a closed dot at ( -1 ). The common part of both intervals is only ( -1 ). Since ( -1 ) is included in both, it becomes a closed dot.

Step 3

Exam Tip

दोनों अंतरालों का साझा भाग केवल ( -1 ) है। दोनों में ( -1 ) शामिल है इसलिए बंद बिंदु बनेगा।

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असमानता \(2\le x\le 2\) को संख्या रेखा पर कैसे दिखाया जाएगा?

How will the inequality \(2\le x\le 2\) be shown on the number line?

Explanation opens after your attempt
Correct Answer

B. (2) पर केवल बंद बिंदुOnly a closed dot at (2)

Step 1

Concept

This inequality is satisfied only by (x=2) so one closed dot is drawn. In exams treat a closed interval with equal endpoints as a single point.

Step 2

Why this answer is correct

The correct answer is B. (2) पर केवल बंद बिंदु / Only a closed dot at (2). This inequality is satisfied only by (x=2) so one closed dot is drawn. In exams treat a closed interval with equal endpoints as a single point.

Step 3

Exam Tip

यह असमानता केवल (x=2) को संतुष्ट करती है इसलिए एक बंद बिंदु बनेगा। परीक्षा में समान दोनों सिरों वाले closed interval को single point मानें।

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कौन सा अंतराल संख्या रेखा पर \( -6\le x\le -6 \) को दिखाता है?

Which interval represents \( -6\le x\le -6 \) on the number line?

Explanation opens after your attempt
Correct Answer

B. ([-6,-6])

Step 1

Concept

Both boundaries are equal and included, so only the point (-6) is obtained. In exams, show it as one closed point.

Step 2

Why this answer is correct

The correct answer is B. ([-6,-6]). Both boundaries are equal and included, so only the point (-6) is obtained. In exams, show it as one closed point.

Step 3

Exam Tip

दोनों सीमाएँ समान और शामिल हैं इसलिए केवल (-6) बिंदु मिलेगा। परीक्षा में इसे एक भरे बिंदु से दिखाएँ।

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संख्या रेखा पर \(x\ge 0\) और \(x\le 0\) का प्रतिच्छेद क्या है?

What is the intersection of \(x\ge 0\) and \(x\le 0\) on a number line?

Explanation opens after your attempt
Correct Answer

C. केवल (0)Only (0)

Step 1

Concept

Only (0) satisfies both conditions together. In exams, intersection means the common part.

Step 2

Why this answer is correct

The correct answer is C. केवल (0) / Only (0). Only (0) satisfies both conditions together. In exams, intersection means the common part.

Step 3

Exam Tip

दोनों शर्तों को एक साथ केवल (0) पूरा करता है। परीक्षा में प्रतिच्छेद का अर्थ साझा भाग होता है।

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यदि संख्या रेखा पर केवल (-4) पर भरा बिंदु है तो समाधान क्या है?

If there is only a closed point at (-4) on the number line, what is the solution?

Explanation opens after your attempt
Correct Answer

C. (x=-4)

Step 1

Concept

One closed point shows that only that value is included in the solution. Hence the solution is (x=-4).

Step 2

Why this answer is correct

The correct answer is C. (x=-4). One closed point shows that only that value is included in the solution. Hence the solution is (x=-4).

Step 3

Exam Tip

एक भरा बिंदु केवल उसी मान को समाधान में शामिल दिखाता है। इसलिए समाधान (x=-4) है।

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यदि संख्या रेखा पर (3) पर भरा बिंदु ही दिखाया गया है तो समाधान क्या है?

If only a closed point at (3) is shown on the number line, what is the solution?

Explanation opens after your attempt
Correct Answer

A. (x=3)

Step 1

Concept

A single closed point shows one included value only. Therefore the solution is (x=3).

Step 2

Why this answer is correct

The correct answer is A. (x=3). A single closed point shows one included value only. Therefore the solution is (x=3).

Step 3

Exam Tip

केवल एक भरा बिंदु एक ही शामिल मान को दिखाता है। इसलिए समाधान (x=3) है।

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संख्या रेखा पर (x=3) को दर्शाने के लिए क्या बनेगा?

What is drawn to represent (x=3) on the number line?

Explanation opens after your attempt
Correct Answer

A. (3) पर एक भरा बिंदुA closed point at (3)

Step 1

Concept

The equation (x=3) represents only one number. For a single included value, draw a closed point.

Step 2

Why this answer is correct

The correct answer is A. (3) पर एक भरा बिंदु / A closed point at (3). The equation (x=3) represents only one number. For a single included value, draw a closed point.

Step 3

Exam Tip

समीकरण (x=3) केवल एक संख्या को दर्शाता है। एकमात्र मान के लिए भरा बिंदु बनाते हैं।

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