Find the coordinates of the foci, the vertices, the length of majo | Filo
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Class 11

Math

3D Geometry

Conic Sections

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Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse 

Solution: The given equation is  or 
Her the donominator of is greater than the donominator of 
Therefore the major axis is along the -axis while the minor axis is along the -axis
On comparing the given equation with  we obtain and

Therefore, the coordinates of the foci are 
The coordinates of the vertices are 
Length of major axis
Length of minor axis
Eccentricity  
Length of latus rectum
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