Concept-wise Practice

negative root MCQ Questions for Class 10

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

Practice Questions

14 questions tagged with negative root.

Question 1/14 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

क्या (x=-3) समीकरण \(2x^2+7x+3=0\) का मूल है?

Is (x=-3) a root of \(2x^2+7x+3=0\)?

Explanation opens after your attempt
Correct Answer

A. हाँYes

Step 1

Concept

Putting (x=-3) gives (18-21+3=0). Watch the signs carefully when substituting a negative root.

Step 2

Why this answer is correct

The correct answer is A. हाँ / Yes. Putting (x=-3) gives (18-21+3=0). Watch the signs carefully when substituting a negative root.

Step 3

Exam Tip

(x=-3) रखने पर (18-21+3=0) मिलता है। ऋणात्मक मूल रखते समय चिन्हों को ध्यान से देखें।

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Question 2/14 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

क्या (x=-2) समीकरण \(3x^2+2x-8=0\) का मूल है?

Is (x=-2) a root of \(3x^2+2x-8=0\)?

Explanation opens after your attempt
Correct Answer

A. हाँYes

Step 1

Concept

Putting (x=-2) gives (12-4-8=0). Handle signs carefully when substituting a negative root.

Step 2

Why this answer is correct

The correct answer is A. हाँ / Yes. Putting (x=-2) gives (12-4-8=0). Handle signs carefully when substituting a negative root.

Step 3

Exam Tip

(x=-2) रखने पर (12-4-8=0) मिलता है। ऋणात्मक मूल रखते समय चिन्हों को ध्यान से संभालें।

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Question 3/14 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

क्या (x=-1) समीकरण \(2x^2+5x+3=0\) का मूल है?

Is (x=-1) a root of \(2x^2+5x+3=0\)?

Explanation opens after your attempt
Correct Answer

A. हाँYes

Step 1

Concept

Putting (x=-1) gives (2-5+3=0). Check signs carefully for a negative root.

Step 2

Why this answer is correct

The correct answer is A. हाँ / Yes. Putting (x=-1) gives (2-5+3=0). Check signs carefully for a negative root.

Step 3

Exam Tip

(x=-1) रखने पर (2-5+3=0) मिलता है। ऋणात्मक मूल में चिन्हों की जांच ध्यान से करें।

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Question 4/14 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

यदि (x=-4) समीकरण \(2x^2+px-8=0\) का मूल है तो (p) का मान क्या है?

If (x=-4) is a root of \(2x^2+px-8=0\), what is the value of (p)?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

Putting (x=-4) gives (32-4p-8=0), so (p=6). Check signs carefully with a negative root.

Step 2

Why this answer is correct

The correct answer is A. (6). Putting (x=-4) gives (32-4p-8=0), so (p=6). Check signs carefully with a negative root.

Step 3

Exam Tip

(x=-4) रखने पर (32-4p-8=0) इसलिए (p=6) मिलता है। ऋणात्मक मूल में चिन्हों की जांच सावधानी से करें।

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Question 5/14 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

यदि किसी समीकरण के मूल (4) और (-7) हैं तो उनका योग क्या है?

If the roots of an equation are (4) and (-7), what is their sum?

Explanation opens after your attempt
Correct Answer

B. (-3)

Step 1

Concept

The sum is (4+(-7)=-3). Be careful with the sign while adding a negative number.

Step 2

Why this answer is correct

The correct answer is B. (-3). The sum is (4+(-7)=-3). Be careful with the sign while adding a negative number.

Step 3

Exam Tip

योग (4+(-7)=-3) है। ऋणात्मक संख्या जोड़ते समय चिन्ह का ध्यान रखें।

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Question 6/14 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

यदि (-3) समीकरण \(x^2+ux-18=0\) का मूल है तो (u) का मान क्या है?

If (-3) is a root of \(x^2+ux-18=0\), what is the value of (u)?

Explanation opens after your attempt
Correct Answer

A. (-9)

Step 1

Concept

Putting (x=-3) gives (9-3u-18=0), so (u=-3), not (u=3).

Step 2

Why this answer is correct

The correct answer is A. (-9). Putting (x=-3) gives (9-3u-18=0), so (u=-3), not (u=3).

Step 3

Exam Tip

(x=-3) रखने पर (9-3u-18=0) इसलिए (u=-3) नहीं बल्कि (u=-3)?

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Question 7/14 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

क्या (x=-1) समीकरण \(2x^2+x-1=0\) का मूल है?

Is (x=-1) a root of \(2x^2+x-1=0\)?

Explanation opens after your attempt
Correct Answer

A. हाँYes

Step 1

Concept

Putting (x=-1) gives (2-1-1=0). Sign checking is important with a negative root.

Step 2

Why this answer is correct

The correct answer is A. हाँ / Yes. Putting (x=-1) gives (2-1-1=0). Sign checking is important with a negative root.

Step 3

Exam Tip

(x=-1) रखने पर (2-1-1=0) मिलता है। ऋणात्मक मूल में चिन्हों की जांच जरूरी है।

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Question 8/14 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

यदि किसी समीकरण के मूल (2) और (-5) हैं तो उनका योग क्या है?

If the roots of an equation are (2) and (-5), what is their sum?

Explanation opens after your attempt
Correct Answer

B. (-3)

Step 1

Concept

The sum is (2+(-5)=-3). Do not forget the sign while adding a negative root.

Step 2

Why this answer is correct

The correct answer is B. (-3). The sum is (2+(-5)=-3). Do not forget the sign while adding a negative root.

Step 3

Exam Tip

योग (2+(-5)=-3) है। ऋणात्मक मूल जोड़ते समय चिन्ह न भूलें।

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Question 9/14 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

यदि (-1) समीकरण \(x^2+rx-12=0\) का मूल है तो (r) का मान क्या है?

If (-1) is a root of \(x^2+rx-12=0\), what is the value of (r)?

Explanation opens after your attempt
Correct Answer

A. (-11)

Step 1

Concept

Putting (x=-1) gives (1-r-12=0), so (r=-11). Check the sign of each term while using a negative root.

Step 2

Why this answer is correct

The correct answer is A. (-11). Putting (x=-1) gives (1-r-12=0), so (r=-11). Check the sign of each term while using a negative root.

Step 3

Exam Tip

(x=-1) रखने पर (1-r-12=0) इसलिए (r=-11)। ऋणात्मक मूल रखते समय प्रत्येक पद का चिन्ह देखें।

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Question 10/14 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

क्या (x=-2) समीकरण \(x^2+3x+2=0\) का मूल है?

Is (x=-2) a root of \(x^2+3x+2=0\)?

Explanation opens after your attempt
Correct Answer

A. हाँYes

Step 1

Concept

Putting (x=-2) gives (4-6+2=0). Be careful with signs when substituting a negative value.

Step 2

Why this answer is correct

The correct answer is A. हाँ / Yes. Putting (x=-2) gives (4-6+2=0). Be careful with signs when substituting a negative value.

Step 3

Exam Tip

(x=-2) रखने पर (4-6+2=0) मिलता है। ऋणात्मक मान रखते समय चिन्हों पर ध्यान दें।

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Question 11/14 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

यदि किसी समीकरण के मूल (1) और (-4) हैं तो उनका योग क्या है?

If the roots of an equation are (1) and (-4) then what is their sum?

Explanation opens after your attempt
Correct Answer

B. (-3)

Step 1

Concept

The sum is (1+(-4)=-3). Be careful with the sign while adding a negative number.

Step 2

Why this answer is correct

The correct answer is B. (-3). The sum is (1+(-4)=-3). Be careful with the sign while adding a negative number.

Step 3

Exam Tip

योग (1+(-4)=-3) है। ऋणात्मक संख्या जोड़ते समय चिन्ह का ध्यान रखें।

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Question 12/14 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

यदि (-2) समीकरण \(x^2+kx+4=0\) का मूल है तो (k) का मान क्या है?

If (-2) is a root of \(x^2+kx+4=0\) then what is the value of (k)?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

Putting (x=-2) gives (4-2k+4=0) so (k=4). Be careful with signs while substituting a negative root.

Step 2

Why this answer is correct

The correct answer is B. (4). Putting (x=-2) gives (4-2k+4=0) so (k=4). Be careful with signs while substituting a negative root.

Step 3

Exam Tip

(x=-2) रखने पर (4-2k+4=0) इसलिए (k=4)। ऋणात्मक मूल रखते समय चिन्ह सावधानी से लगाएं।

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Question 13/14 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

\(x^2+6x+9=0\) में (x=-3) रखने पर क्या होगा?

What happens when (x=-3) is put in \(x^2+6x+9=0\)?

Explanation opens after your attempt
Correct Answer

A. समीकरण संतुष्ट होता हैThe equation is satisfied

Step 1

Concept

((-3)2+6(-3)+9=0). Hence (x=-3) is a solution.

Step 2

Why this answer is correct

The correct answer is A. समीकरण संतुष्ट होता है / The equation is satisfied. ((-3)2+6(-3)+9=0). Hence (x=-3) is a solution.

Step 3

Exam Tip

((-3)2+6(-3)+9=0) है। अतः (x=-3) हल है।

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Question 14/14 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

\(x^2+4x+4=0\) में (x=-2) रखने पर क्या होगा?

What happens when (x=-2) is put in \(x^2+4x+4=0\)?

Explanation opens after your attempt
Correct Answer

A. समीकरण संतुष्ट होता हैThe equation is satisfied

Step 1

Concept

((-2)2+4(-2)+4=0). Hence (x=-2) is a solution.

Step 2

Why this answer is correct

The correct answer is A. समीकरण संतुष्ट होता है / The equation is satisfied. ((-2)2+4(-2)+4=0). Hence (x=-2) is a solution.

Step 3

Exam Tip

((-2)2+4(-2)+4=0) है। अतः (x=-2) हल है।

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