| Every complex number x+iy can be represented geometrically as a unique point P(x,y) in the XOY plane as shown below with x co-ordiante representing its real part and y-co-ordinate representing the imaginary part.|
The distance from the origin to the point P(x,y) is defined as the modulus of the complex number z = x+iy and is denoted by |z| shown below
|z| = Öx2+y2
The conjugate z bar of the complex number is represented by the point P bar which is symmetric to P with respect to x-axis.
Example: Represent the complex number 2+i3 by a point in the complex plane.
Solution: The complex number 2+i3 is represented by a point with x-co-ordinate = Re(2+i3) = 2 and y-co-ordinate = Im(2+i3) = 3
The point A(2,3) is located by 2 units on the positive x-axis of real numbers and 3 units on the positive y-axis of imaginary numbers.
Directions: Plot the following complex numbers in the complex plane.