Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The sides of the rectangle of the greatest area, that can be inscribed in the ellipse x 2 + 2y 2 = 8, are given by -
A
, 4
B
4, 
C
2, 
D
2 
, 2
, 2
Text Solution
Verified by ExpertsThe correct answer is:
B
Any point on the ellipse 
+ 
= 1 is (2 
cos θ , 2 sin θ ). (See Fig.)
A = Area of the inscribed rectangle
= 4(2 
cos θ ) (2 sin θ )
= 8 
sin 2 θ
= 16 
cos 2 θ = 0 ⇒ θ = π /4
Also 
= –32 
sin 2 θ < 0 for θ = π /4.
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