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 
It can be written as


...(1)
Here the donominator of  is greater than the denominator of 
Therefore, the major axis is along the -axis while the minor axis is along the -axis. 
On comparing equation (1) with , we obtain and

Therefore, the coordinates of the foci are 
The coordinates of the vertices are (0, 
Length of major axis
Length of minor axis
Eccentricity
Length of latus rectum
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