Equation of the director circle of the ellipse $x^2+2y^2+2x-12y+15=0$ is

Question

$\begin{array}{1 1}(A)\;x^2+y^2+2x-6y+4=0 \\(B)\;x^2+y^2+2x-12y+4=0 \\(C)\;x^2+y^2+2x-6y-4=0 \\(D)\;x^2+y^2+2x-12y-4=0 \end{array}$