Question
Find the equation of an ellipse whose major axis is along the x-axis and which passes through the points (6, 3) and (12, 0).
Solution
The major axis of the ellipse is along the x-axis.
∴ The equation of ellipse is ...(i)
It passes through (6, 3)
...(ii)
It passes through (12, 0)
∴ From (ii),
Hence, the equation of ellipse, from (i), is: