Exams K12 NCERT Solutions for Complex Numbers and Quadratic Equations Exercise 5.3 Class 11 Maths

Written By Shayan Patra
Last Modified 27-01-2023

NCERT Solutions for Complex Numbers and Quadratic Equations Exercise 5.3 Class 11 Maths

Exercise 5.3 Class 11 Maths NCERT Solutions: In this article, students can find NCERT Solutions for Class 11 Maths Chapter 5 Ex 5.3. At Embibe, our subject matter experts (SMEs) have provided the solution to Complex Numbers and Quadratic Equations in a comprehensive yet easy-to-understand manner.

Our NCERT Solutions will help students gain an in-depth understanding of concepts. Ex 5.3 of the chapter talks about Quadratic Equations, Polynomials, Roots of Quadratic Function etc. Furthermore, they can get over 1000 practice questions from Embibe curated from more than 20 books. So, scroll down and get the Class 11 Maths Ex 5.3 solution.

NCERT Solutions for Class 11 Maths Chapter 5 Exercise 5.3: Important Topics

Chapter 5 of Class 11 Maths deals with Complex Numbers and Quadratic Equations. Ex 5.3 of the chapter is one of the most important exercises as it deals with Quadratic Equations – how to solve them and the roots. This article provides in-text solutions for Ex 5.3 of Class 11 Maths.

Therefore, students can refer to Embibe’s explainers and 3D videos to immerse themselves in a fun and interactive mode of learning. They can even take tests that are personalised according to their level. The table below lists the important topics included in the chapter Complex Numbers and Quadratic Equations.

Exercise No.	Topics
5.1	Introduction
5.2	Complex Numbers
5.3	Algebra of Complex Numbers
5.3.1	Addition of Two Complex Numbers
5.3.2	Difference between Two Complex Numbers
5.3.3	Multiplication of Two Complex Numbers
5.3.4	Division of Two Complex Numbers
5.3.5	Power of i (odd and even)
5.3.6	The Square of a negative real number
5.3.7	Identities
5.4	The Modulus and the Conjugate of a Complex Number
5.5	Argand Plane and Polar Representation
5.5.1	Polar Representation of a Complex Number
5.6	Quadratic Equations

NCERT Solutions for Class 11 Maths Chapter 5 Exercise 5.3: Points to Remember

To help students get a quick summary for Ex 5.3 of Class 11 Maths, we have provided a few points to remember below.

A quadratic equation cannot have more than two roots.
If a,b, and c belongs to R and D is a positive and perfect square, then the roots are real and distinct.
If D= 0, then the roots are real and equal.
If D > 0 but it is not a perfect square, then roots are irrational and unequal.
If D< 0, then roots are imaginary