Find the equation of the circle passing through the points $(2,3)$ and $(–1,1)$ and whose centre is on the line $x–3y–11 = 0$.

Question

$\begin {array} {1 1} (A)\;x^2+y^2+7x-5y+14=0 & \quad (B)\;x^2+y^2-7x-5y+14=0 \\ (C)\;x^2+y^2-7x-5y-14=0 & \quad (D)\;x^2+y^2-7x-5y+14=0 \end {array}$