Find the equation for the ellipse that satisfies the given conditions : Centre at $(0,0),$ major axis on the y-axis and passes through the points $(3, 2)$ and $(1, 6)$

Question

$\begin {array} {1 1} (A)\;x^2+4y^2=40 & \quad (B)\;4x^2-y^2=40 \\ (C)\;4x^2+y^2=40 & \quad (D)\;x^2-4y^2=40 \end {array}$