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## Homework Statement

Describe the set of points determined by the given condition in the complex plane:

|z - 1 + i| = 1

## Homework Equations

|z| = sqrt(x

^{2}+ y

^{2})

z = x + iy

## The Attempt at a Solution

Tried to put absolute values on every thing by the Triangle inequality

|z| - |1| + |i| = |1|

sqrt(x

^{2}+ y

^{2}) - 1 + 1 = 1

sqrt(x

^{2}+ y

^{2}) = 1

Not sure if I'm approaching this question correctly...