# How do you write an equation of an ellipse in standard form given foci = (0,-3) and (0,3);length of major axis: 10?

##### 1 Answer

Mar 20, 2016

#### Answer:

#### Explanation:

Foci are on the major axis. So, the major axis is x-axis . Center is the midpoint of the the line joining the foci, (0, 0).

So, the equation of the ellipse is

where a and b are the lengths of semi-major and semi-minor axes.

The eccentricity e = (distance between the foci)

The semi-minor axis b = a

Answer: