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

Asked by  | 29th Sep, 2013, 01:51: PM

Expert Answer:

|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.

Answered by  | 30th Sep, 2013, 09:58: AM

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