i) If `z = x+iy` where `x,y \in \mathbb{R}` and `i=\sqrt{-1}` and `|z-2| = |2z-1|`, then prove that `x^2+y^2 = 1`
ii) If `z = x+iy` where `x,y \in \mathbb{R}` and `i=\sqrt{-1}` and `|z+6| = |2z+3|`, then prove that `x^2+y^2 = 9`