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Class 10th Mathematics Chapter 4 Quadratic Equations – Important Questions

Important questions with answers for Class 10th Mathematics Chapter 4 Quadratic Equations, based on the NCERT CBSE syllabus.

Topics covered in Quadratic Equations

Frequently asked questions

Where can I find important questions for Class 10th Mathematics Chapter 4 Quadratic Equations?

This page lists important questions with answers for Quadratic Equations. Topics covered: Standard form, Factorisation method, Completing the square, Quadratic formula, Discriminant.

Are Quadratic Equations important questions free?

Yes, Notebook gives free NCERT CBSE important questions for Class 10 Mathematics.

How to prepare Quadratic Equations for Class 10 Mathematics exams?

Read the Quadratic Equations notes first, revise the key topics (Standard form, Factorisation method, Completing the square, Quadratic formula, Discriminant), then practise the important questions and previous year questions (PYQ) for this chapter.

Where can I find Class 10th Mathematics Chapter 4 Quadratic Equations important questions for quick revision?

You are on the right page: this important questions page for Quadratic Equations covers Class 10 Mathematics for the CBSE exam 2026-27. Use the tabs on this chapter for notes, important questions and PYQ.

Is Class 10th Mathematics Chapter 4 Quadratic Equations important for the CBSE exam 2026-27?

Quadratic Equations is part of the Class 10 Mathematics NCERT CBSE syllabus. Notebook gives notes, important questions and PYQs for it, free.

Also see: Class 10th Mathematics Chapter 4 Quadratic Equations Notes · Class 10th Mathematics Chapter 4 Quadratic Equations PYQ

Quadratic Equations

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1 Mark
What is the discriminant of a quadratic equation?
Ans: Discriminant D = b² – 4ac. It determines the nature of roots of ax² + bx + c = 0.
2 Marks
Find the roots of x² – 3x – 10 = 0 by factorisation.
Ans: x² – 5x + 2x – 10 = 0 → x(x–5) + 2(x–5) = 0 → (x+2)(x–5) = 0. Roots: x = –2 or x = 5.
3 Marks
Find the discriminant and nature of roots: 2x² – 4x + 3 = 0.
Ans: D = (–4)² – 4×2×3 = 16 – 24 = –8. Since D < 0, the equation has no real roots.
5 Marks
A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less. Find the speed.
Ans: Let speed = x km/h. 360/x – 360/(x+5) = 1 → 360(x+5) – 360x = x(x+5) → 1800 = x² + 5x → x² + 5x – 1800 = 0 → (x+45)(x–40) = 0. Speed = 40 km/h.
Other chapters in Mathematics · Class 10 View all Mathematics chapters →
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