Question

illustrates on the komplex numberplane the points z for which
I z-2i I = I z-4i I

Answer 1

|z - 2i| = k represents a circle of radius k at 2i
| z-4i| = k 4i

Answer 2

ok

Answer 3

I dont really understand how thats the answer?

Answer 4

I don't think it has a unique solution.

Answer 5

thanks! = )

Answer 6

z = 3i ... that is one of your solution.

Answer 7

why is that a solution?

Answer 8

hold on ... looks like i forgot they have same radius

Answer 9

the solution will be of the form x+3i <---

Answer 10

becouse thats in the middle of both points`?

Answer 11

maybe so ... try proving it geometrically ... I'm kinda tired.

Answer 12

ok thanks so much! =)

Answer 13

yw