When given the sets X = { z is complex, mod(z) < 2}, Y = { z is complex, z - z* = 2i} where z* is the complex conjugate, draw these on an argand diagram.
When given the sets X = { z is complex, mod(z) < 2}, Y = { z is complex, z - z* = 2i} where z* is the complex conjugate, draw these on an argand diagram.
Try writing $\displaystyle \displaystyle \begin{align*} z = x + i\,y \end{align*}$ and see what "form" these relations then take.