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ellipse help

0 votes

Find the center, vertices, and foci of the ellipse with equation x squared divided by 225 plus y squared divided by 625 = 1.

asked Aug 8, 2014 in CALCULUS by Tdog79 Pupil

1 Answer

0 votes

The ellipse equation is image

The equation rewrite as image

The larger denominator under the term, so the ellipse is vertical.

Compare it to standard form of  vertical ellipse is image

Where image

Center (h, k)

Vertices are (h, k + a), (h , k - a)

Foci(h, k + c),(h , k - c)

Where image.

In this case image

image

Vertices are (h, k + a), (h , k - a)

image

Foci(h, k + c),(h , k - c)

image

image

 

answered Aug 8, 2014 by david Expert

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