Fundamentals of Complex Numbers for JEE (Main & Advanced)

Course Overview

This course covers the fundamentals of complex numbers with a clear focus on JEE Main and Advanced. Students will learn standard forms, operations, and key properties like conjugate, modulus, and argument. The course also explores cube roots and nth roots of unity, rotation of complex numbers, and connects algebraic identities with their geometric interpretations.

Course Description

Master One of the Most Powerful Tools in JEE Mathematics!

Complex Numbers are not only one of the most fascinating topics in the IIT JEE syllabus — they’re also a gateway to advanced problem-solving in coordinate geometry, algebra, and trigonometry. This course is designed to give you complete conceptual clarity, shortcut techniques, and exam-level problem-solving skills to conquer this crucial chapter.

Topics Covered

Fundamentals of Complex Numbers
Properties of Conjugate and Modulus
Properties of Argument
Cube Roots of Unity, nth Roots of Unity
Rotation of Complex Numbers
From Algebraic Identities to Geometric Properties

Prerequisites

You must have studied basic complex numbers at the school level and practiced enough problems on-

Cartesian Form and Polar Form
Basic Algebra of Complex Numbers

Know Your Educator

Ashish Khare

A top educator of IIT-JEE & Maths Olympiads, Ashish Sir has mentored thousands of JEE rankers & admits to renowned foreign universities, including MIT, Stanford, UCB, etc., over the last 26 years.
Based in Jaipur, India, he is a senior mentor at Narayana Jaipur and teaches for top ranks of IIT-JEE and Maths Olympiads, along with being a mathematician at the American Mathematical Society.

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