Find the (lengths of the) semi-major and semi-minor axes, the location
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Find the (lengths of the) semi-major and semi-minor axes, the location

12. An ellipse has its foci at (−1, 0) and (7, 0), and eccentricity 0.4.

Find the (lengths of the) semi-major and semi-minor axes, the location of the directrices, and the equation of the ellipse.

Hint
MathematicsThe length of the major axis is 2a, and the length of the minor axis is 2b. The distance between the center and either focus is c, where c2 = a2 - b2. Here a > b > 0. The standard equation of an ellipse with a vertical major axis is the following: + = 1....
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