# Math Help - Complex numbers

1. ## Complex numbers

Show that $\mid z-2i\mid = 4-z$ can be represented by the cartesian equation $\frac{x^2}{3}+\frac{(y-1)^2}{4}=1$

2. Originally Posted by usagi_killer
Show that $\mid z-2i\mid = 4-z$ can be represented by the cartesian equation $\frac{x^2}{3}+\frac{(y-1)^2}{4}=1$
You're missing magnitude brackets on the right hand side of the relation: it should be |4 - z|. Furthermore, the locus of |z - 2i| = |4 - z| is NOT a circle so the result you're trying to prove is wrong.