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: Ends of major axis  ends of minor axis

Solution: It is given that, ends of major axis  and ends of minor axis
Clearly, here 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 and
Thus, the equation of the ellipse is
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