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# Chapter 5 - Complex Numbers and Quadratic Equations

In this chapter, you’ll study about complex numbers and quadratic equations. Complex Numbers are a combination of real numbers and imaginary numbers. A complex number can be written in the form a + bi where ‘a’ and ‘b’ are real numbers (also 0) and ‘i’ is an imaginary number.

A Quadratic Equation is an equation having the degree ‘2’. You’ll also learn about the quadratic formula and fundamental theorem of algebra, algebraic properties, argand plane, polar representation of complex numbers, square root of a complex number and much more in NCERT Solutions for Class 11 Maths, Chapter 5.

It is interesting to know that complex numbers and quadratic equations are used in varied fields such as electrical engineering, physics while launching a satellite and more. So, in-depth knowledge of this topic is quite helpful to you!

## Let’s take a look at topics and sub-topics of Class 11 Maths Chapter 5, Complex Numbers and Quadratic Equations

5.1 Introduction

5.2 Complex Numbers

5.3 Algebra of Complex Numbers

5.4 The Modulus and the Conjugate of a Complex Number

5.5 Argand Plane and Polar Representation

## In Class 11 Maths Chapter 5, you will learn –

Section 5.2 – In this section, you’ll learn what complex numbers are and how to equate the real and the imaginary parts of complex numbers.

Section 5.3 – In this section, you’ll deal with the algebra of complex numbers and learn addition, subtraction, multiplication and division of complex numbers. You’ll also study about the power of ‘i’, the square roots of a negative real number and identities.

Section 5.4 – In this section, you’ll learn about the modulus and the conjugate of a complex number. You’ll also be able to find the multiplicative inverse of the non-zero complex number.

Section 5.5 – In this section, you’ll acquire knowledge about the complex plane or the Argand plane, the real axis and the imaginary axis. You’ll also learn about the polar representation of a complex number.

Section 5.6 – In this section, you’ll study about quadratic equations, inductive hypothesis and the fundamental theorem of Algebra.

In this chapter, you are provided with several examples along with their solutions for a clear understanding of Complex Numbers and Quadratic Equations. To know more about Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations, you should explore the exercises below. You can also download the Complex Numbers and Quadratic Equations Class 11 NCERT Solutions PDF, solved by expert Maths trainers.

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