How do I find the equation of an ellipse, given the center and focus and one point on the ellipse?

Question

The center is (3,6). The focus (11,6) and the ellipse also contains the point (3,11). Please help!

Answer 1

Start drawing a diagram!

The other focus is (-4, 6).

A minor axis is at (3, 11)

c = 7

b = 5

c² = a² - b²

Can you complete and answer?