So im stuck at;

Find the complex numbers with abs 1 for which it works that:

|1-zi|=1

How do I solve it? I've tried almost everything I can use and do, the problem is I don't know where to start.

I've tried setting

z=a+bi

|1-zi|=1 as z(roof)

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- September 21st 2009, 01:37 PMHangaComplex numbers! Elementary problem *Quick help needed*
So im stuck at;

Find the complex numbers with abs 1 for which it works that:

|1-zi|=1

How do I solve it? I've tried almost everything I can use and do, the problem is I don't know where to start.

I've tried setting

z=a+bi

|1-zi|=1 as z(roof) - September 21st 2009, 02:18 PMPlato
This is the same as or .

That is a circle of points in the complex plane with center with radius 1. - September 21st 2009, 02:25 PMHanga
Yeah I tried it, and it does not work. Well atleast it's not the same as the answer im supposed to get which is;

(+-)sqr(3)/2 - i/2

I understand exactly how you think, thought for me it's the Z part of |1-zi|=1 which ruins every and all attempts for me to crack this problem. - September 21st 2009, 02:31 PMPlato
Well if you want the abolute value to be 1, solve these two.

& .