# How do you write an equation of an ellipse in standard form given foci (0,12) and (0,-12) and a major axis of length 26?

##### 1 Answer

#### Explanation:

Given:

Note that the x-coordinate of the foci are the same. Hence we can conclude that the ellipse has a vertical major axis. The standard equation of an ellipse with a vertical major axis is

Get the center by getting the midpoint between the two foci,

Get

Get the value of

Hence, the equation of the ellipse is