The length of the diameter of the circle which touches the x-axis at the point $(1,0)$ and passes through the point $(2,3)$ is

Question

$\begin{array}{1 1}(A)\;\frac{10}{3} \\(B)\;\frac{3}{5} \\(C)\;\frac{6}{5} \\(D)\;\frac{5}{3} \end{array}$