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

the end points of the major axis are: .

center of the ellipse is the mid-point of the major axis, i.e.

center of the ellipse = .

length of the major axis = 2a =

let the length of the minor axis be 2b.

let the equation of the ellipse be ..............(1)

since the point (1, 3) lies on the ellipse (1).

length of the latus rectum =

let the eccentricity of the ellipse be e.

therefore:

hope this helps you.

cheers!!

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