Mathematics for JEE Main and Advanced

Complex Numbers

Complex numbers drawn on the Argand plane: modulus, argument, rotation and locus, one idea per lesson.

The arrow from the origin to the point (3, 4): its length is 5 and theta is its angle with the real axis
Lesson 1

Modulus and Argument of a Complex Number

A complex number is a point, and also an arrow from the origin. Its modulus is how long the arrow is. Its argument is which way the arrow points.

Free PDF, 5 pages: the idea, a solved example, practice questions with answers.

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