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

Class 11

Math

3D Geometry

Conic Sections

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150

Find the equation for the ellipse that satisfies the given conditions: centre at the origin; foci on the - axis.

Solution: It is given that , centre at the origin; foci on the - axis.
Since the foci are on the -axis the major axis is along the -axis.
Therefore, the equation of the ellipse will be of the form   where is the semi-major axis.
Accordingly
It is known that

Thus, the equation of the ellipse is

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