The ratio in which the line segment joining the points $(4,-6)$ and $(3,1)$ is divided by the parabola $y^2=4ax$ is

Question

$\begin{array}{1 1}(A)\;\frac{-20 \pm \sqrt {155}}{11} :1\\(B)\;\frac{-2 \pm \sqrt {155}}{11} :1 \\(C)\;-20 \pm 2 \sqrt {155} :11 \\(D)\;-20 \pm \sqrt {155} :11 \end{array}$