|| Complex Numbers || JEE Mains || Video - 5 || Cube Roots of Unity and Locus ||

Описание: Welcome back to FactorXMaths!

This is the fifth video in the Complex Numbers for JEE Main 2026 series with Akshat Agarwal, IIT Kharagpur. In this session, we bring together algebra and geometry through cube roots of unity and locus in the complex plane, two ideas that show up again and again in smart JEE questions.
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🔹 In this video you will learn:
The complete concept of cube roots of unity: how many there are, what is special about them, and how they are positioned symmetrically on the Argand plane.
Important properties and identities involving cube roots of unity that simplify many expressions and help you spot patterns quickly in JEE problems.
How to interpret conditions on a complex number as a locus (a path or set of points) in the Argand plane, turning algebraic-looking statements into clear geometric pictures.
​- Standard types of locus questions: points at a fixed distance, lines, circles and simple curves described using complex numbers, and how to read and visualise them correctly.
​- A set of exam-style examples where cube roots of unity, symmetry and locus ideas combine to create beautiful but very scoreable JEE Main problems.
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If cube roots of unity and complex-number locus feel like “advanced” topics right now, this video will turn them into predictable, pattern-based tools you can rely on in the exam.

✅ Like the video if cube roots of unity and locus feel more intuitive now
✅ Comment which you find tougher: cube roots of unity identities or visualising locus on the Argand plane
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