|| Complex Numbers || JEE Mains || Video - 4 || Argument and Different forms of Complex Number ||

Описание: Welcome back to FactorXMaths!

This is the fourth video in the Complex Numbers for JEE Main 2026 series with Akshat Agarwal, IIT Kharagpur. In this session, we focus on the argument of a complex number and the different ways to represent complex numbers, which is where algebra and geometry fully come together for JEE.

🔹 In this video you will learn:
What the argument of a complex number is, how it measures the angle a complex number makes with the positive real axis, and how to interpret that angle on the Argand plane.
The idea of principal argument, how its value is restricted to a specific interval, and how to handle the sign and quadrant carefully so you do not lose marks on simple angle questions.
How to move between different forms of a complex number: the usual coordinate form, the polar-type form using modulus and argument, and how each form makes certain problems easier.
Simple but powerful quadrant rules and tricks to quickly decide the correct angle and avoid common mistakes when the real or imaginary part is negative.
JEE-style practice problems where you find arguments, shift between forms, and combine modulus and argument ideas with geometric understanding on the Argand plane.

If argument, angles and different forms of complex numbers feel confusing right now, this video will turn them into a clean, visual toolkit that you’ll use again in rotation, roots of unity and locus questions.

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