EllipseHard

Question

Area of the greatest rectangle that can be inscribed in the ellipse = 1 is

Options

A.2 ab
B.ab
C.
D.

Solution

       
Area of rectangle ABCD = (2acosθ)
(2bsinθ) = 2absin2θ
⇒     Area of greatest rectangle is equal to 2ab
when sin2θ = 1.

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