Find the equation for the ellipse that given that satisfies the gi | Filo
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Class 11

Math

3D Geometry

Conic Sections

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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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