Question

Question #8fe2a

Answer 1

As shown below:

Explanation:

Assuming your asking for `|z - 1 + i| = 1`

Im only considering your are dealing with a complex number problem:

`z in CC`

Where `z = a + bi`

Hence `|z| = sqrt( a^2 + b^2 )`

Hence is just the length of such point from the origin:

Hence `|z| = k` represents a circle of radius `k` at centre `(0,0)`

And `|z-a| = k` represents a circle of radius `k` and centre `a`

So hence:

`|z - 1 + i | = 1` is a circle of radius `1` and centre `1-i`

Hence: