Q. The relationship between semi-major axis , semi-minor axis and the distance of focus from the centre of the ellipse is given as

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Solution:

(Take a point at one end of the major axis. Sum of the distances of the point to the foci is

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Take a point at one end of the minor axis.
Sum of the distances from the point to the foci is

Since, both and lie on the ellipse.
By the definition of ellipse, we have

or , i.e.,