The midpoint of a chord of the ellipse $x^2+4y^2-2x+20 y=0$ is $(2,-4)$. The equation of the chord is?

Question

\[(a)\;x-6y=26 \quad (b)\;x+6y=26 \quad (c)\;6x-y=26 \quad (d)\;6x+y=26 \]