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Chapter 4MathematicsCBSE Class 11

Complex Numbers and Quadratic Equations

Complex Numbers and Quadratic Equations is Chapter 4 of NCERT Class 11 Mathematics. The chapter covers Introduction, Complex Numbers, Algebra of Complex Numbers, The Modulus and the Conjugate of a Complex Number, and more. Use this public guide to revise the official topic structure before asking Lerno for step-by-step help.

5 topicsChapter 4 of 14
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Topics covered

5 sections
01

Introduction

Introduction
02

Complex Numbers

Introduction
03

Algebra of Complex Numbers

IntroductionAddition of two complex numbersDifference of two complex numbersMultiplication of two complex numbersDivision of two complex numbersPower of iThe square roots of a negative real numberIdentities
04

The Modulus and the Conjugate of a Complex Number

Introduction
05

Argand Plane and Polar Representation

Introduction

Key concepts

IntroductionComplex NumbersAlgebra of Complex NumbersThe Modulus and the Conjugate of a Complex NumberArgand Plane and Polar RepresentationIntroductionAddition of two complex numbersDifference of two complex numbersMultiplication of two complex numbersDivision of two complex numbers

Practice questions

Frequently asked

What is covered in Complex Numbers and Quadratic Equations?

Complex Numbers and Quadratic Equations is Chapter 4 in NCERT Class 11 Mathematics. The verified chapter structure includes Introduction, Complex Numbers, Algebra of Complex Numbers, The Modulus and the Conjugate of a Complex Number, Argand Plane and Polar Representation.

How should I revise Complex Numbers and Quadratic Equations?

Revise the chapter topic by topic: start with Introduction, Complex Numbers, Algebra of Complex Numbers, then practice questions that mix definitions, examples, and application steps.

Can I use Lerno for Class 11 Mathematics questions?

Yes. Lerno is built for CBSE students and uses NCERT-grounded context so students can ask for explanations, practice prompts, and step-by-step guidance for this chapter.

Study prompts

1

Explain Introduction from Complex Numbers and Quadratic Equations and give one NCERT-style example or practice step.

2

Explain Complex Numbers from Complex Numbers and Quadratic Equations and give one NCERT-style example or practice step.

3

Explain Algebra of Complex Numbers from Complex Numbers and Quadratic Equations and give one NCERT-style example or practice step.

4

Explain The Modulus and the Conjugate of a Complex Number from Complex Numbers and Quadratic Equations and give one NCERT-style example or practice step.

5

Explain Argand Plane and Polar Representation from Complex Numbers and Quadratic Equations and give one NCERT-style example or practice step.

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Practice QuestionsChapter-wise NCERT-aligned questionsSolutions GuideStep-by-step approach per topicChapter ExplanationTopic map for structured revision

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