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.
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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 $\displaystyle x=2$, $\displaystyle x=3$ and $\displaystyle x=4$
Write $\displaystyle \displaystyle z = x + iy$, where $\displaystyle \displaystyle x, y \in \mathbf{R}$ and simplify.
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