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

Class 11

Math

3D Geometry

Conic Sections

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150

Find the equation for the ellipse that given that satisfies the given conditions: Length of minor axis , foci

Solution: It is given that, length of minor axis ; foci =
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 and
We know that,

Thus, the equation of the ellipse is or
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