Concept-wise Practice

negative-coefficient MCQ Questions for Class 10

negative-coefficient 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 negative-coefficient.

यदि (3x-2y=4) और (x=4), तो (y) का मान क्या है?

If (3x-2y=4) and (x=4), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

D. (y=4)

Step 1

Concept

Putting (x=4) gives (12-2y=4), so (y=4). Check signs while solving a term with a negative coefficient.

Step 2

Why this answer is correct

The correct answer is D. (y=4). Putting (x=4) gives (12-2y=4), so (y=4). Check signs while solving a term with a negative coefficient.

Step 3

Exam Tip

(x=4) रखने पर (12-2y=4), इसलिए (y=4)। ऋण गुणांक वाले पद को हल करते समय चिन्ह जांचें।

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यदि (2x-y=1) और (x=5), तो (y) का मान क्या है?

If (2x-y=1) and (x=5), what is (y)?

Explanation opens after your attempt
Correct Answer

A. (y=9)

Step 1

Concept

(10-y=1), so (y=9). In this type of question, solve (-y) correctly.

Step 2

Why this answer is correct

The correct answer is A. (y=9). (10-y=1), so (y=9). In this type of question, solve (-y) correctly.

Step 3

Exam Tip

(10-y=1), इसलिए (y=9)। इस प्रकार के प्रश्न में (-y) को सही तरह हल करें।

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रेखाएं (3x-8y=11) और (6x-16y=25) का ग्राफीय निष्कर्ष क्या है?

What is the graphical conclusion for (3x-8y=11) and (6x-16y=25)?

Explanation opens after your attempt
Correct Answer

C. कोई समाधान नहींNo solution

Step 1

Concept

\(\frac{3}{6}=\frac{-8}{-16}\neq\frac{11}{25}\), so the lines are distinct and parallel. Such a pair has no solution.

Step 2

Why this answer is correct

The correct answer is C. कोई समाधान नहीं / No solution. \(\frac{3}{6}=\frac{-8}{-16}\neq\frac{11}{25}\), so the lines are distinct and parallel. Such a pair has no solution.

Step 3

Exam Tip

\(\frac{3}{6}=\frac{-8}{-16}\neq\frac{11}{25}\), इसलिए रेखाएं समांतर अलग-अलग हैं। ऐसे युग्म का कोई समाधान नहीं होता।

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रेखाएं (2x-5y=7) और (4x-10y=16) का ग्राफीय निष्कर्ष क्या है?

What is the graphical conclusion for (2x-5y=7) and (4x-10y=16)?

Explanation opens after your attempt
Correct Answer

C. कोई समाधान नहींNo solution

Step 1

Concept

\(\frac{2}{4}=\frac{-5}{-10}\neq\frac{7}{16}\), so the lines are distinct and parallel. Such a pair has no solution.

Step 2

Why this answer is correct

The correct answer is C. कोई समाधान नहीं / No solution. \(\frac{2}{4}=\frac{-5}{-10}\neq\frac{7}{16}\), so the lines are distinct and parallel. Such a pair has no solution.

Step 3

Exam Tip

\(\frac{2}{4}=\frac{-5}{-10}\neq\frac{7}{16}\), इसलिए रेखाएं समांतर अलग-अलग हैं। ऐसे युग्म का कोई समाधान नहीं होता।

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रेखाएं (x-3y=2) और (2x-6y=9) का ग्राफीय निष्कर्ष क्या है?

What is the graphical conclusion for (x-3y=2) and (2x-6y=9)?

Explanation opens after your attempt
Correct Answer

C. कोई समाधान नहींNo solution

Step 1

Concept

\(\frac{1}{2}=\frac{-3}{-6}\neq\frac{2}{9}\), so the lines are distinct and parallel. Such a pair has no solution.

Step 2

Why this answer is correct

The correct answer is C. कोई समाधान नहीं / No solution. \(\frac{1}{2}=\frac{-3}{-6}\neq\frac{2}{9}\), so the lines are distinct and parallel. Such a pair has no solution.

Step 3

Exam Tip

\(\frac{1}{2}=\frac{-3}{-6}\neq\frac{2}{9}\), इसलिए रेखाएं समांतर अलग-अलग हैं। ऐसे युग्म का कोई समाधान नहीं होता।

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रेखाएं (2x-3y=6) और (4x-6y=13) के लिए सही ग्राफीय निष्कर्ष कौन सा है?

Which graphical conclusion is correct for (2x-3y=6) and (4x-6y=13)?

Explanation opens after your attempt
Correct Answer

B. कोई समाधान नहींNo solution

Step 1

Concept

\(\frac{2}{4}=\frac{-3}{-6}\neq\frac{6}{13}\), so the lines are parallel. Distinct parallel lines have no intersection.

Step 2

Why this answer is correct

The correct answer is B. कोई समाधान नहीं / No solution. \(\frac{2}{4}=\frac{-3}{-6}\neq\frac{6}{13}\), so the lines are parallel. Distinct parallel lines have no intersection.

Step 3

Exam Tip

\(\frac{2}{4}=\frac{-3}{-6}\neq\frac{6}{13}\), इसलिए रेखाएं समांतर हैं। समांतर अलग-अलग रेखाओं का कोई प्रतिच्छेद नहीं होता।

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समीकरण \(-2x^2+5x-1=0\) में (a) का मान क्या है?

What is the value of (a) in \(-2x^2+5x-1=0\)?

Explanation opens after your attempt
Correct Answer

B. (-2)

Step 1

Concept

The coefficient of \(x^2\) is (-2). So in standard form (a=-2).

Step 2

Why this answer is correct

The correct answer is B. (-2). The coefficient of \(x^2\) is (-2). So in standard form (a=-2).

Step 3

Exam Tip

\(x^2\) का गुणांक (-2) है। इसलिए मानक रूप में (a=-2) है।

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समीकरण \(-x^2+3x+10=0\) में (a) का मान क्या है?

What is the value of (a) in \(-x^2+3x+10=0\)?

Explanation opens after your attempt
Correct Answer

B. \(-1\)

Step 1

Concept

The coefficient of \(-x^2\) is (-1). So (a=-1).

Step 2

Why this answer is correct

The correct answer is B. \(-1\). The coefficient of \(-x^2\) is (-1). So (a=-1).

Step 3

Exam Tip

\(-x^2\) का गुणांक (-1) होता है। इसलिए (a=-1) है।

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यदि (p(x)=x-2+4x+2), तो शून्यकों का सही युग्म कौन सा है?

If (p(x)=x-2+4x+2), which is the correct pair of zeroes?

Explanation opens after your attempt
Correct Answer

A. \(-2+\sqrt{2}\) और \(-2-\sqrt{2}\)\(-2+\sqrt{2}\) and \(-2-\sqrt{2}\)

Step 1

Concept

By the formula, \(x=\frac{-4\pm\sqrt{16-8}}{2}=-2\pm\sqrt{2}\). Pay attention to the negative sign and denominator (2).

Step 2

Why this answer is correct

The correct answer is A. \(-2+\sqrt{2}\) और \(-2-\sqrt{2}\) / \(-2+\sqrt{2}\) and \(-2-\sqrt{2}\). By the formula, \(x=\frac{-4\pm\sqrt{16-8}}{2}=-2\pm\sqrt{2}\). Pay attention to the negative sign and denominator (2).

Step 3

Exam Tip

सूत्र से \(x=\frac{-4\pm\sqrt{16-8}}{2}=-2\pm\sqrt{2}\)। ऋण चिह्न और हर (2) दोनों पर ध्यान दें।

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