Mathematics
Mathematics, 09.12.2020 07:50, rutza

Derive the equation of the ellipse with foci at (1,0) and (βˆ’1,0) whose distance between vertices is 6. Make a picture to help. Label the foci, and place and label a point (x, y) along the ellipse. Draw the focal distances from the point (x, y) to each focus point.

Hint: Note that the endpoints on the major axis are often called vertices (the other endpoints on the minor axis are called co-vertices).

Use the fact that the distance between the vertices is equal to the sum of the focal distances. Use the distance formula to start.

Put the steps in order:


Derive the equation of the ellipse with foci at (1,0) and (βˆ’1,0) whose distance between vertices is
Derive the equation of the ellipse with foci at (1,0) and (βˆ’1,0) whose distance between vertices is

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Derive the equation of the ellipse with foci at (1,0) and (βˆ’1,0) whose distance between vertices is...

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