JEE Main On 8 April 2017 Question 25
Question: Consider an ellipse, whose centre is at the origin and its major axis is along the x - axis. if its eccentricity is $ \frac{3}{5} $ 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 : [JEE Online 08-04-2017]
Options:
A) 32
B) 80
C) 40
D) 8
Show Answer
Answer:
Correct Answer: C
Solution:
$ e=3/5,2ae=6,a(5)a=5 $
$ b^{2}=a^{2}(1-e^{2}) $
$ b^{2}=25(1-9/25) $
$ b=4 $ area $ =4(1/2ab) $
$ =2ab=40 $
