A diameter of $AB$ of the circle is perpendicular to the chord $CD$ at a point X. Given $CD$ = 30 and $AX$= 5, find the diameter AB.

Question

$\begin{array}{1 1} (a)\; 40 \\ (b)\; 45 \\ (c)\; 50 \\ (d)\; 55 \end{array}$