SOLUTION: Give the coordinates of the foci, vertices, and co-vertices of the ellipse with equation (x²/169) + (y²/25) = 1. Sketch the graph and include these points.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Give the coordinates of the foci, vertices, and co-vertices of the ellipse with equation (x²/169) + (y²/25) = 1. Sketch the graph and include these points.      Log On


   

Question 1187425: Give the coordinates of the foci, vertices, and co-vertices of the ellipse with equation
(x²/169) + (y²/25) = 1. Sketch the graph and include these points.
Answer by ikleyn(52798) About Me  (Show Source):
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Give the coordinates of the foci, vertices, and co-vertices of the ellipse with equation
(x²/169) + (y²/25) = 1. Sketch the graph and include these points.
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The center of the ellipse is at the origin..


The major semi-axis is  a = sqrt%28169%29 = 13;  the minor semi-axis is  b = sqrt%2825%29 = 5.


The vetices are these two points  (-13,0)  and  (13,0).


The co-vertices are two points  (0,-5)  and  (0,5).


The eccentricity is  c = sqrt%2813%5E2-5%5E2%29 = 12.


The foci are these two points  (-12,0)  and  (12,0).

Solved.