The question is as follows:
The focal points of an ellipse are $(12,0)$ and $(−12,0)$, and the point $(12,7)$ is on the ellipse. Find the points where this curve intersects the coordinate axes.
I know that the center of the ellipse would be $(0,0$) because that is the midpoint of the foci. However, I am not sure as to how this information will help me in finding the intersections on the coordinate axes (or the vertices). Any help will be greatly appreciated.