NDA 2021 Mathematics question

Mathematics Application of Derivatives NDA 2021

What is the maximum area of a rectangle that can be inscribed in a circle of radius 2 units?

(A)4 square units
(B)6 square units
(C)8 square unitsCorrect
(D)16 square units

Answer: (C)

Solution

The diagonal of an inscribed rectangle is a diameter of the circle, of length 4. Let the diagonal make an angle with one side; the sides are and . Area ,

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Question ID VK-033703