Find the equation for the ellipse that satisfies the given conditi | Filo

Class 11

Math

3D Geometry

Conic Sections

573
150

Find the equation for the ellipse that satisfies the given conditions:

Vertices , foci

Solution: It is given that, vertices , foci
Clearly, the vertices are on the -axis.
Therefore, the equation of the ellipse will be of the form , where is the semi-major axis.
Also,
We know that
Thus, the equation of the ellipse is
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