The largest value of r for which the region represented by the set $\{\omega \in C/| \omega -4-i| \geq r \}$ is contained in the region represented by the set $\{z \in C/|Z-1| \geq | z+i| \}$ is equal to :

Question

$\begin{array}{1 1} \sqrt {17} \\ 2 \sqrt 2 \\ \frac{3}{2} \sqrt 2 \\ \frac{5}{2} \sqrt 2 \end{array}$