
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 coordiante representing its real part and ycoordinate 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 = Öx^{2}+y^{2} The conjugate z bar of the complex number is represented by the point P bar which is symmetric to P with respect to xaxis.
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 xcoordinate = Re(2+i3) = 2 and ycoordinate = Im(2+i3) = 3 The point A(2,3) is located by 2 units on the positive xaxis of real numbers and 3 units on the positive yaxis of imaginary numbers.
Directions: Plot the following complex numbers in the complex plane. 4i3 3+i5 5 2i 1/2i3 Ö3/2 +i/2 4/3 i 1 i Ö3 