# Math Help - Z-plane region

1. ## Z-plane region

What region in the z-plane is defined by : |z-1| < |z-2| ?

(x-1) +j y < (x-2) + j y <-- is this equation right ?

i can't understand what is question asking for...

2. By definition |z-a| is the 'distance' of the point z from the point a...

... and what is the z-plane region the points of which are less distant from z=1 than from z=2?...

Kind regards

$\chi$ $\sigma$

3. Originally Posted by Chris0724
What region in the z-plane is defined by : |z-1| < |z-2| ?

(x-1) +j y < (x-2) + j y <-- is this equation right ?

i can't understand what is question asking for...

Draw the locus defined by |z-1| = |z-2|. It divides the complex plane into two regions. Now choose a simple and convenient point from one of those regions and test whether it satisfies |z-1| < |z-2|. If it does, then the region the point belongs to is the solution. If it doesn't, then the other region is the solution.