Download the Class 11 Maths Chapter 4 Complex Numbers and Quadratic Equations NCERT Book PDF, the official 2026-27 NCERT textbook chapter. It introduces the imaginary unit i and the algebra of complex numbers, giving every quadratic a root, a topic tested in the Boards, JEE Main, JEE Advanced and CUET.

  • Official NCERT 2026-27 chapter, clean and print-ready.
  • Covers the imaginary unit, modulus, conjugate and the Argand plane.
  • Read it alongside the solved exercises and the revision notes linked below.

This Class 11 Maths Chapter 4 Complex Numbers and Quadratic Equations NCERT Book PDF is the official 2026-27 NCERT text, checked page by page against the latest edition.

What Class 11 Maths Chapter 4 Complex Numbers and Quadratic Equations Covers

The chapter defines a complex number a + ib, sets up its algebra, and then represents it on the Argand plane in polar form. The official NCERT sections are listed below.

Section Topic
4.1Introduction
4.2Complex Numbers
4.3Algebra of Complex Numbers
4.4The Modulus and the Conjugate of a Complex Number
4.5Argand Plane and Polar Representation

Key Concepts You Will Study

Students should read the chapter with a pen and note each definition as it appears. The ideas are few but appear again in coordinate geometry and calculus.

  • The imaginary unit i, its powers, and the form a + ib of a complex number.
  • Addition, subtraction, multiplication and division of complex numbers.
  • The modulus and conjugate, and the multiplicative inverse.
  • The Argand plane and the polar form r(cosθ + i sinθ).
  • Solving quadratic equations with negative discriminant over the complex numbers.

Why Download the NCERT Book PDF for This Chapter

The NCERT textbook is the single most important source for the CBSE exam, and most JEE and CUET questions from this chapter are built directly on its definitions and examples.

  • Every Board question on modulus, conjugate and roots comes from this text or its exercises.
  • The worked examples show the correct way to rationalise and simplify.
  • Reading offline from the PDF avoids missing any small sign or condition.

How to Use the NCERT Book PDF for Complex Numbers and Quadratic Equations

Read the chapter once fully, then work through it a second time with the exercises open. A short, ordered plan keeps the definitions from blurring together.

  • Read each section, then write its definition in your own words in a single line.
  • Plot a few complex numbers on the Argand plane before learning the polar form.
  • Solve the in-text examples before looking at the given solution.
  • Attempt the back exercises, then check them against the NCERT Solutions below.

Other Class 11 Maths Complex Numbers and Quadratic Equations Resources

Pair the textbook PDF with the solved answers, revision notes and formula sheet for the same chapter.

FAQs on Class 11 Maths Chapter 4 NCERT Book PDF

Complex Numbers and Quadratic Equations NCERT PDF - Frequently Asked Questions

Ques. Is this the latest 2026-27 NCERT Book for Class 11 Maths Chapter 4?

Ans. Yes. This is the official NCERT 2026-27 textbook chapter for Class 11 Maths Chapter 4 Complex Numbers and Quadratic Equations, matched page by page against the latest edition.

Ques. What topics are in Class 11 Maths Chapter 4?

Ans. The chapter covers the imaginary unit and complex numbers, the algebra of complex numbers, the modulus and conjugate, the Argand plane and polar representation, and quadratic equations with complex roots.

Ques. Is the NCERT Book enough for this chapter in JEE and CUET?

Ans. The NCERT Book is the base for this chapter, and most JEE and CUET questions on complex numbers and quadratic roots are built on its examples. Pair it with the Exemplar for extra higher-order practice.

Ques. Where can I download the Class 11 Maths Chapter 4 NCERT Book PDF?

Ans. You can download the Class 11 Maths Chapter 4 Complex Numbers and Quadratic Equations NCERT Book PDF free from the download card at the top of this page, in both standard and HD quality.