Question
Find the equation of the ellipse that satisfies the following condition:
Vertices (0, ± 13), foci (0, ± 5).
Solution
The foci (0, ± 5) lie on y-axis.
∴ Equation of ellipse in standard form is ...(i)
Foci:
Vertices:
Now,
Hence, from (i), the equation of the ellipse is