The perpendicular from the origin to the line $y=mx+c$ meets it at the point (-1,2). Find the values of $m$ and $c$.

Question

$\begin{array}{1 1}(A)\;m=2, c=\large\frac{5}{2} \\(B)\; m=-2, c=-\large\frac{5}{2} \\(C)\; m=-2, c=\large\frac{5}{2} \\(D)\;m=2, c=-\large\frac{5}{2} \end{array}$