Question
Find the equation of an ellipse that satisfies the following conditions
Ends of major axis at , ends of minor axis at
Solution
Ends of major axis lie on x-axis.
∴ Equation of ellipse in standard form is ...(i)
Ends of major axis (vertices) are
Ends of minor axis are
Also,
∴ from (i), equation of ellipse is ...(ii)
The foci are