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UNIT 9 : THE CONICS
LESSON 3: THE ELLIPSE
Definition: Given two fixed points in the plane F1 and F2. An ellipse is the locus (set) of points P
such that the sum |PF1+ PF2 | is a constant. The two fixed points are the foci.
The centre is the midpoint of the line segment
joining the two foci (F1F2).
Example 1:
Solution:
Example 3:
Solution:
Example 4:
Example 5:
The arch of an overpass is in the shape of a semi-ellipse. If the span of the ellipse (distance between end points of the arch) is 40 m & the height is 8 m,
find the height of the arch at a point 4 m from the end of the arch.
Solution:
