# region represented complex no/ problem

• May 29th 2011, 05:46 AM
saha.subham
region represented complex no/ problem
find the region represented by |z-4| < |z-2|, where z is a complex number.

my incomplete soln-
don't have any idea about it.
• May 29th 2011, 05:56 AM
Quacky
Quote:

Originally Posted by saha.subham
find the region represented by |z-4| < |z-2|, where z is a complex number.

my incomplete soln-
don't have any idea about it.

|z-4|<|z-2|
Have you drawn a graph to help? Hint: Consider the lines $x=2$, $x=3$ and $x=4$
• May 29th 2011, 05:57 AM
Prove It
Write $\displaystyle z = x + iy$, where $\displaystyle x, y \in \mathbf{R}$ and simplify.