Question
Class 12MathematicsApplication of Derivatives

Show that of all the rectangles inscribed in a given fixed circle, the square has the maximum area. 

Verified Answer

Let a rectangle of length l and breadth b be inscribed in the given circle of radius a.

Then, the diagonal passes through the centre and is of length 2a cm.

Now, by applying the Pythagoras theorem, we have: 

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