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NCERT Class 11 Mathematics Chapter 04 Complex Numbers and Quadratic Equations Digital Edition
For Class 11 Mathematics, this chapter in NCERT Book Class 11 Maths Complex Numbers And Quadratic Equations provides a detailed overview of important concepts. We highly recommend using this text alongside the NCERT Solutions for Class 11 Mathematics to learn the exercise questions provided at the end of the chapter.
Chapter 04 Complex Numbers and Quadratic Equations NCERT Book Class Class 11 PDF (2025-26)
5.1 Introduction
In earlier classes, we have studied linear equations in one and two variables and quadratic equations in one variable. We have seen that the equation x2 + 1 = 0 has no real solution as x2 + 1 = 0 gives x2 = – 1 and square of every real number is non-negative. So, we need to extend the real number system to a larger system so that we can find the solution of the equation x2 = – 1. In fact, the main objective is to solve the equation ax2 + bx + c = 0, where D = b2 – 4ac < 0, which is not possible in the system of real numbers.
5.2 Complex Numbers
Let us denote −1 by the symbol i. Then, we have 2 i = −1 . This means that i is a solution of the equation x2 + 1 = 0. A number of the form a + ib, where a and b are real numbers, is defined to be a complex number. For example, 
, are complex numbers.
For the complex number z = a + ib, a is called the real part, denoted by Re z and b is called the imaginary part denoted by Im z of the complex number z. For example, if z = 2 + i5, then Re z = 2 and Im z = 5. Two complex numbers z1 = a + ib and z2 = c + id are equal if a = c and b = d.
Please refer to attached file for NCERT Class 11 Maths Complex Numbers And Quadratic Equations
| NCERT Book Class 11 Maths Relations And Functions |
| NCERT Book Class 11 Maths Relations And Functions Questions |
| CBSE Book Class 11 Maths Trigonometric Functions |
| NCERT Book Class 11 Maths Trigonometric Functions |
| NCERT Book Class 11 Maths Trigonometric Functions Questions |
| CBSE Book Class 11 Maths Complex Numbers |
| NCERT Book Class 11 Maths Complex Numbers And Quadratic Equations |
| NCERT Book Class 11 Maths Complex Numbers And Quadratic Equations Questions |
| NCERT Book Class 11 Maths Linear Inequalities |
| NCERT Book Class 11 Maths Linear Inequalities Questions |
| NCERT Book Class 11 Maths Permutations And Combinations |
| NCERT Book Class 11 Maths Permutations And Combinations Questions |
| NCERT Book Class 11 Maths Binomial Theorem |
| NCERT Book Class 11 Maths Binomial Theorem Questions |
| CBSE Book Class 11 Maths Sequence and Series |
| NCERT Book Class 11 Maths Sequences And Series |
| NCERT Book Class 11 Maths Sequences And Series Questions |
| CBSE Book Class 11 Maths Straight Line |
| NCERT Book Class 11 Maths Straight Lines |
| NCERT Book Class 11 Maths Straight Lines Questions |
| NCERT Book Class 11 Maths Conic Sections |
| NCERT Book Class 11 Maths Conic Sections Questions |
| NCERT Book Class 11 Maths Introduction To Three Dimensional Geometry |
| NCERT Book Class 11 Maths Introduction To Three Dimensional Geometry Questions |
| CBSE Book Class 11 Maths Limit and Derivatives |
| NCERT Book Class 11 Maths Limits And Derivatives |
| NCERT Book Class 11 Maths Limits And Derivatives Questions |
| NCERT Book Class 11 Maths Statistics |
| NCERT Book Class 11 Maths Statistics Questions |
| NCERT Book Class 11 Maths Probability |
| NCERT Book Class 11 Maths Probability Questions |
| NCERT Book Class 11 Maths Answers and Solutions |
| NCERT Book Class 11 Maths Answers and Solutions2 |
| NCERT Book Class 11 Maths Infinite Series |
| NCERT Book Class 11 Maths Mathematical Modelling |
Important Practice Resources for Class 11 Mathematics
NCERT Book Class 11 Mathematics Chapter 04 Complex Numbers and Quadratic Equations
Download the official NCERT Textbook for Class 11 Mathematics Chapter 04 Complex Numbers and Quadratic Equations, updated for the latest academic session. These e-books are the main textbook used by major education boards across India. All teachers and subject experts recommend the Chapter 04 Complex Numbers and Quadratic Equations NCERT e-textbook because exam papers for Class 11 are strictly based on the syllabus specified in these books. You can download the complete chapter in PDF format from here.
Download Mathematics Class 11 NCERT eBooks in English
We have provided the complete collection of NCERT books in English Medium for all subjects in Class 11. These digital textbooks are very important for students who have English as their medium of studying. Each chapter, including Chapter 04 Complex Numbers and Quadratic Equations, contains detailed explanations and a detailed list of questions at the end of the chapter. Simply click the links above to get your free Mathematics textbook PDF and start studying today.
Benefits of using NCERT Class 11 Textbooks
The Class 11 Mathematics Chapter 04 Complex Numbers and Quadratic Equations book is designed to provide a strong conceptual understanding. Students should also access NCERT Solutions and revision notes on studiestoday.com to enhance their learning experience.
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NCERT books are the main source for NCERT exams. By reading NCERT Book Class 11 Maths Complex Numbers And Quadratic Equations line-by-line and practicing its questions, students build strong understanding to get full marks in Mathematics.