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QJEEM17Ma4eba: JEE Main 2017 Mathematics - Class 11 JEEM17Ma4eba Solution: Consider an ellipse, whose center is at the origin and 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 quadrilatateral inscribed in the ellipse, with the vertices as the vertices of the ellipse, is :

Multiple Choice Options

  • A 8
  • B 32
  • C 80
  • D 40

Step-by-Step Verified Solution

e = 3/5 & 2ae = 6  ⇒   a = 5

∵   b2 = a2 (1 − e2)

⇒   b2 = 25(1 − 9/25)

JEE Main 2017 (Online) 8th April Morning Slot Mathematics - Ellipse Question 79 English Explanation
⇒ b = 4

∴ Area of required quadrilateral

= 4(1/2 ab) = 2ab = 40

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