The Total solution for NCERT class 6-12
Show that of all the rectangles inscribed in a given fixedcircle, the square has the maximum area.
Let a rectangle of length l andbreadth b be inscribed in the given circle of radius a.
Now, by applying the Pythagoras theorem, we have:
∴Area of the rectangle,
By the second derivativetest, when, then the area of the rectangle is the maximum.
Since, the rectangle is a square.