Let $h : \mathbb { C } \rightarrow \mathbb { C }$ be an analytic function such that $h ( 0 ) = 0 ; h \left( \frac { 1 } { 2 } \right) = 5$, and $| h ( z ) | < 10$ for $| z | < 1$. Then,\\
(a) the set $\{ z : | h ( z ) | = 5 \}$ is unbounded by the Maximum Principle;\\
(b) the set $\left\{ z : \left| h ^ { \prime } ( z ) \right| = 5 \right\}$ is a circle of strictly positive radius;\\
(c) $h ( 1 ) = 10$;\\
(d) regardless of what $h ^ { \prime }$ is, $h ^ { \prime \prime } \equiv 0$.