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Ellipse

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definition

An ellipse is the set of all points in a plane, the sum of whose distances from two fixed points in the plane is a constant.

notes

The two fixed points are called the foci (plural of ‘focus’) of the ellipse in the following Fig.

The mid point of the line segment joining the foci is called the centre of the ellipse.  The line segment through the foci of the ellipse is called the major axis and the line segment through the centre and perpendicular to the major axis is called the minor axis.  The end points of the major axis are called the vertices of the ellipse in following fig.

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