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?
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 the value of
Hence, the equation of the ellipse is