Find the equation for the ellipse that satisfies the given conditions : Major axis on the x-axis and passes through the points $(4,3)$ and $(6,2)$.

Question

$\begin {array} {1 1} (A)\;x^2-4y^2=52 & \quad (B)\;4y^2-x^2=52 \\ (C)\;x^2+4y^2=52 & \quad (D)\;4y^2+x^2=52 \end {array}$