TS EAMCET · Maths · Ellipse
If the length and breadth of a rectangle of maximum area that can be inscribed in an ellipse are and respectively, then the eccentricity of that ellipse is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Ellipse x2a2+y2b2=1 ∙ Coordinates of vertices of a rectangle inscribed in ellipse are +acosθ,+bsinθ Area of Rectangle =2acosθ2bsinθ =2absin2θ square units. For area to be maximum sin2θ=1 ⇒θ=π4 Length =2acosθ=82 unit…
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