Let S be the set of all complex numbers z satisfying |z−2+i| ≥√5. If the complex number z0 is such that 1|z0−1| is the maximum of the set {1|z−1|:z∈S},then the principal argument of 4−z0−¯¯¯¯¯z0z0−¯¯¯¯¯z0+2i is

Let S be the set of all complex numbers z satisfying |z−2+i| ≥√5

1.	Let S be the set of all complex numbers z satisfying \|z−2+i\| ≥√5. If the complex number z0 is such that 1\|z0−1\| is the maximum of the set {1\|z−1\|:z∈S},then the principal argument of 4−z0−¯¯¯¯¯z0z0−¯¯¯¯¯z0+2i is
Answer» Let $S$ be the set of all complex numbers $z$ satisfying $\| z - 2 + i \|$ $\geq \sqrt{5}$ . If the complex number $z_{0}$ is such that $\frac{1}{\| z_{0} - 1 \|}$ is the maximum of the set ${\frac{1}{\| z - 1 \|} : z \in S}$ ,then the principal argument of $\frac{4 - z_{0} -_{0}}{z_{0} -_{0} + 2 i}$ is