Consider an ellipse, whose center is at the origin and its major axis is along the x -axis. If its…

Consider an ellipse, whose center is at the origin and its major axis is along the x-axis. If its eccentricity is 35 and the distance between its foci is 6, then the area (in sq. units) of the quadrilateral inscribed in the ellipse, with the vertices as the vertices of the ellipse, is:
  1. 32
  2. 80
  3. 40
  4. 8

Solution



Given eccentricity of the ellipse e = 3 5 .

Distance between foci  is  2ae=6
⇒ a = 5.

Also,  b 2 = a 2 (1− e 2 )

⇒ b2=251-925

⇒ b=4

Area =412ab=2ab=40

Asked in: JEE Main 2017 (08 Apr Online)

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