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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMaxima-MinimaMedium2 minPYQ_2005

MathematicsMediumsingle choice

Area of the greatest rectangle that can be inscribed in the ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ is

Question diagram: Area of the greatest rectangle that can be inscribed in the

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Answer:

Solution:

Area of rectangle $A BC D = (2 a cos θ)$ $(2 b sin θ) = 2 ab sin 2 θ$ $\Rightarrow$ Area of greatest rectangle is equal to $2 ab$ when $sin 2 θ = 1$ .

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Maxima-Minima

⏱ 2mℹ️ Source: PYQ_2005

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