1. The problem statement, all variables and given/known data 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] 2. Relevant equations 3. 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) ? ?