Sketch the subset of the complex plane:

{z E C: |z - 1| = |z - i| }

I have no idea what to do. Could someone please explain?

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- October 18th 2010, 02:30 PMSyNtHeSiSSketching complex plane
Sketch the subset of the complex plane:

{z E C: |z - 1| = |z - i| }

I have no idea what to do. Could someone please explain? - October 18th 2010, 03:10 PMArchie Meade
- October 18th 2010, 04:15 PMSoroban
Hello, SyNtHeSiS!

Did you make a sketch?

Quote:

Sketch the subset of the complex plane: .

**Hint:**

On the Argand diagram:

. . is the distance from to

. . is the distance from to

- October 19th 2010, 04:56 AMSyNtHeSiS
Thanks. Would this sketch be the graph y = x?

- October 19th 2010, 08:00 AMArchie Meade
Yes, it is.