Question
Sun September 29, 2013 By:
 

if |z+i|= |z-i|, find z.

Expert Reply
Mon September 30, 2013
|z+i|=|z-i|
here distance of z from two points lying on y axes (0,1) and (0,-1) is equal.so z must ly on the perpendicular bisector of line segment joining (0,1) and (0,-1).which is
x axis.
so z lies on x axis,or locus of z will be y=0.
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