Let $z$ be a complex number such that $\frac{z - i}{z - 1}$ is purely imaginary. Then the minimum value of $|z - (2 + 2i)|$ is (A) $2\sqrt{2}$ (B) $\sqrt{2}$ (C) $\frac{3}{\sqrt{2}}$ (D) $\frac{1}{\sqrt{2}}$.
Let $z$ be a complex number such that $\frac{z - i}{z - 1}$ is purely imaginary. Then the minimum value of $|z - (2 + 2i)|$ is\\
(A) $2\sqrt{2}$\\
(B) $\sqrt{2}$\\
(C) $\frac{3}{\sqrt{2}}$\\
(D) $\frac{1}{\sqrt{2}}$.