# Thread:

1. ## Complex numbers

Show that $%5Cmid%20z-2i%5Cmid%20=%204-z$ can be represented by the cartesian equation $%5Cfrac%7Bx%5E2%7D%7B3%7D+%5Cfrac%7B%28y-1%29%5E2%7D%7B4%7D=1$

2. Originally Posted by usagi_killer
Show that $%5Cmid%20z-2i%5Cmid%20=%204-z$ can be represented by the cartesian equation $%5Cfrac%7Bx%5E2%7D%7B3%7D+%5Cfrac%7B%28y-1%29%5E2%7D%7B4%7D=1$
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.
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