Find the length of major axis, the eccentricity the latus rectum, | Filo
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Class 11

Math

3D Geometry

Conic Sections

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Find the length of major axis, the eccentricity the latus rectum, the coordinate of the centre, the foci, the vertices and the equation of the directrices of following ellipse:     

Solution: Given equation of ellipse is 

On comparing the given equation with , we get

Since, ,therefore the major axis is along the -axis while the minor axis is along the -axis.
Length of major axis
Length of minor axis
Eccentricity

Coordinates of the foci are  and  
The coordinates of the vertices are and
Length of latus rectum = 
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