EllipseHard

Question

The area (in sq. units) of the quadrilateral formed by the tangents at the end points of the latera recta to the ellipse is :

Options

A.27 / 2
B.27
C.27 / 4
D.18

Solution

   

a = 3, b = √5
5 = 9(1 - e2)
e =
Equation of tangent at (2, 5/3)


∴  (0, 3) and are the points of intersection of above line with co-ordinate axes.
  

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