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The ends of the major axis of an ellipse...

The ends of the major axis of an ellipse are (- 2, 4) and (2, 1). If the point (1, 3) lies on the ellipse,then find its latus rectum and eccentricity.

Text Solution

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the major end points are (-2,4),(2,1)
by distance formula
`2a=sqrt(4^2+3^2)`
`2a=sqrt(16+9)`
`2a=5`
`a=5/2`
center of eclipse `((-2+2)/2,(4+1)/2)`
equation of eclipse
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