CBSE Class 10 Maths Nature of Roots Practice Questions

Focused Nature of Roots practice from the Real Numbers chapter. Switch question types without leaving this topic.

Practice coverage:155 published questions across 6 formats.

ChapterTopic

Base

If the roots of a quadratic equation are equal, then its discriminant is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is the discriminant of a quadratic equation?

For $a x^{2} + b x + c = 0$ , the discriminant is $b^{2} - 4 a c$ .

When are the roots of a quadratic equation equal?

The roots are equal when the discriminant is exactly equal to 0.

Base

If $D = b^{2} - 4 a c > 0$ , then the quadratic equation has:

Select an option first. The solution will unlock after your attempt.

FAQ

What does positive discriminant mean?

It means two distinct real roots.

Base

If $b^{2} - 4 a c < 0$ , then the quadratic equation has:

Select an option first. The solution will unlock after your attempt.

FAQ

When does a quadratic equation have no real roots?

When the discriminant $b^{2} - 4 a c$ is less than $0$ .

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CBSE Class 10 Maths Nature of Roots Practice Questions

Focused Nature of Roots practice from the Real Numbers chapter. Switch question types without leaving this topic.

Practice coverage:155 published questions across 6 formats.

ChapterTopic

Base

If the roots of a quadratic equation are equal, then its discriminant is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is the discriminant of a quadratic equation?

For $a x^{2} + b x + c = 0$ , the discriminant is $b^{2} - 4 a c$ .

When are the roots of a quadratic equation equal?

The roots are equal when the discriminant is exactly equal to 0.

Base

If $D = b^{2} - 4 a c > 0$ , then the quadratic equation has:

Select an option first. The solution will unlock after your attempt.

FAQ

What does positive discriminant mean?

It means two distinct real roots.

Base

If $b^{2} - 4 a c < 0$ , then the quadratic equation has:

Select an option first. The solution will unlock after your attempt.

FAQ

When does a quadratic equation have no real roots?

When the discriminant $b^{2} - 4 a c$ is less than $0$ .

CBSE Class 10 Maths Nature of Roots Practice Questions

If the roots of a quadratic equation are equal, then its discriminant is:

If D=b2−4ac>0, then the quadratic equation has:

If b2−4ac<0, then the quadratic equation has:

CBSE Class 10 Maths Nature of Roots Practice Questions

If the roots of a quadratic equation are equal, then its discriminant is:

If D=b2−4ac>0, then the quadratic equation has:

If b2−4ac<0, then the quadratic equation has:

If $D = b^{2} - 4 a c > 0$ , then the quadratic equation has:

If $b^{2} - 4 a c < 0$ , then the quadratic equation has:

If $D = b^{2} - 4 a c > 0$ , then the quadratic equation has:

If $b^{2} - 4 a c < 0$ , then the quadratic equation has: