JEE Main 2017 — Ellipse Question with Solution
From: JEE Main 2017 (Online) 8th April Morning Slot
Question
Consider an ellipse, whose center is at the origin and its major axis is along the x-axis. If its eccentricity is 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 :
Choose an option
Show full solutionCorrect option: D
Correct answer
D40
Step-by-step explanation
e = 3/5 & 2ae = 6 a = 5
b2 = a2 (1 e2)
b2 = 25(1 9/25)
b = 4
Area of required quadrilateral
= 4(1/2 ab) = 2ab = 40
b2 = a2 (1 e2)
b2 = 25(1 9/25)
b = 4
Area of required quadrilateral
= 4(1/2 ab) = 2ab = 40
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This is a previous-year question from JEE Main 2017, covering the Ellipse chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.