Question

A dot ($(\sqrt{10}-1)$ is on the ellipse. The distance between the centers of the ellipse is equal to 10. Find the ellipse equation.

Answer 1

Answer:

Remember the two patterns for an ellipse: Each ellipse has two foci (plural of focus) as shown in the picture here: As you can see, c is the distance from the center to a focus. We can find the value of c by using the formula c2 = a2 - b2.