# Thread: Complex numbers - Geometric place

1. ## Complex numbers - Geometric place

Hi everyone, I have been searching for some book or document on the internet, which explains how determine the geometric place of the complex numbers, but, I haven't have luck on my search, so it'd be really nice if someone share a link of this subject with me, or if you prefer, someone could help me determining the geometric places of the following excersices, Thank you

2. ## Re: Complex numbers - Geometric place

Originally Posted by mcolula
Hi everyone, I have been searching for some book or document on the internet, which explains how determine the geometric place of the complex numbers, but, I haven't have luck on my search, so it'd be really nice if someone share a link of this subject with me, or if you prefer, someone could help me determining the geometric places of the following excersices,

$\displaystyle |z-w|$ is the distance between the complex numbers $\displaystyle z~\&~w$.
Thus $\displaystyle |z-z_0|=2$ is a circle of radius 2 centered at $\displaystyle z_0$.
$\displaystyle |z+2i|=|z-1+i|$ is the set of all complex numbers equally distance from $\displaystyle -2i~\&~1-i~.$
$\displaystyle \text{Re} \left( {\frac{1}{z}} \right) = \frac{x}{{{x^2} + {y^2}}}$.