Skip to main content
Super TutorResources
Chapter 5 of 18
Syllabus

Quadratic Equations — Syllabus

ICSE · Class 11 · Mathematics

What Quadratic Equations covers in ICSE Class 11 Mathematics: 4 topics, for the 2026-27 session. Part of the ICSE Class 11 Mathematics syllabus.

104 questions25 flashcards24 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Quadratic Equations? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for syllabus and more.

Try Super Tutor — Free

Free trial, no card needed.

An infographic explaining how the discriminant (D = b²-4ac) determines the nature of roots for a quadratic equation ax²+bx+c=0 with real coefficients, including graphical interpretations.
Super Tutor

Learn better with visuals Super Tutor pairs illustrations like this with notes and quizzes for Quadratic Equations.

4 Topics · ICSE Class 11 Mathematics · 2026-27

Topics in Quadratic Equations

1

1. Basic Meaning and Standard Form

  • A quadratic equation has the form ax^2 + bx + c = 0, where a does not equal 0.
  • The coefficients a, b, and c may be real or complex numbers.
  • The values of x that satisfy the equation are called roots.
2

2. Discriminant and Nature of Roots

  • The discriminant is D = b^2 - 4ac.
  • For real coefficients, the sign of D decides the nature of roots.
  • If D > 0, the roots are real and distinct.
3

3. Graph of a Quadratic Function

  • The graph of y = ax^2 + bx + c is a parabola.
  • The vertex is V(-b/(2a), -D/(4a)).
  • If a > 0, the parabola opens upwards.
4

4. Roots and Coefficients

  • If alpha and beta are roots of ax^2 + bx + c = 0, then alpha + beta = -b/a.
  • If alpha and beta are roots of ax^2 + bx + c = 0, then alpha beta = c/a.
  • A quadratic equation can be formed from its roots.

Key Concepts

Central concept: Quadratic equation and its solutions

Definition of quadratic equationRoots of a quadratic equationFundamental Theorem of AlgebraQuadratic formulaDiscriminantNature of roots with real coefficientsNature of roots with complex coefficientsVertex of parabola

Work through every topic in Quadratic Equations with notes and quizzes

Start This Chapter

Frequently Asked Questions

What are the important topics in Quadratic Equations for ICSE Class 11 Mathematics?
Key topics in Quadratic Equations include Basic Meaning and Standard Form, Discriminant and Nature of Roots, Graph of a Quadratic Function, Roots and Coefficients. Study these first, then practise questions on each for Class 11 exams.
How should I revise Quadratic Equations for Class 11 exams?
Learn the core ideas first, then work through the 104 practice questions on Quadratic Equations. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Quadratic Equations

All ICSE Class 11 Mathematics Syllabus

For serious students

Get the full Quadratic Equations chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 11 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free