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## Homework Statement

Lets find the set of points z in the complex plane which satisfy the condition:

a)|z-a|=r , r>0 where a is fixed point from the same plane, and r is positive real number.

b)|z-a|=|z-b|, [itex]a \neq b[/itex]

## Homework Equations

## The Attempt at a Solution

I don't know how to solve this at all. Is z something to do with z=a+bi ? is a=Re(z) ? ?