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

Class 11

Math

3D Geometry

Conic Sections

572
150

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
572
150

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