What are co-vertices in r/o an ellipse?

1 Answer
Shwetank Mauria
Feb 14, 2017

Co-vertices are the endpoints of the minor axis .

Explanation:

Co-vertices are the endpoints of the minor axis .

Let us consider an ellipse described by #x^2/16+y^2/9=1#. This is shown below:
graph{x^2/16+y^2/9=1 [-10, 10, -5, 5]}
This is an ellipse with horizontal orientation and as can be seen its co-vertices are #(0,3)# and #(0,-3)#.

Now consider another ellipse #(x+3)^2/9+(y-4)^2/25=1#
graph{(x+3)^2/9+(y-4)^2/25=1 [-12.34, 7.66, -1, 9]}
This is an ellipse with vertical orientation and as can be seen its co-vertices are #(-6,4)# and #(0,4)#.

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