Complex Number Problem (first post)

[initiated]

Hey guys, it's my first post here as I have a quick question.

The problem is: Describe the complex number z such that: |z-3| = 3. I am not sure what the problem is asking. Is treating the problem like it's an absolute value problem appropriate?

 

[Deleted member 4993]

Hey guys, it's my first post here as I have a quick question.

The problem is: Describe the complex number z such that: |z-3| = 3. I am not sure what the problem is asking. Is treating the problem like it's an absolute value problem appropriate?

It is not an absolute value problem! It means:

If z = a+ib, then

√[(a-3)² + b²] = 3

 

[pka]

The problem is: Describe the complex number z such that: |z-3| = 3. I am not sure what the problem is asking. Is treating the problem like it's an absolute value problem appropriate?

What is the set of points in the complex plane that are a distance of three from 3?
Think points equally distant from a fixed point.