Question
Let $z$ be a complex number such that $\left| {{{z - 2i} \over {z + i}}} \right| = 2,z \ne - i$. Then $z$ lies on the circle of radius 2 and centre :
Let $z$ be a complex number such that $\left| {{{z - 2i} \over {z + i}}} \right| = 2,z \ne - i$. Then $z$ lies on the circle of radius 2 and centre :