Application of DerivativeHard

Question

The maximum area of the rectangle whose sides pass through the angular points of a given rectangle of sides a and b is

Options

A.2 (ab)
B.1/2 (a + b)2
C.1/2  (a2 + b2)
D.none of these

Solution

Area = ab +
= ab + sin 2θ
Maximum area is ab +

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