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Sneha Kanekar Grade: 12
        1)find the sides of rectangle with greatest possible perimeter inscribed in a semicircle . . . .

2)for what point P of the parobola ysq.=2px has the segment of inner normal at P the smallest length???
7 years ago

Answers : (1)

SAGAR SINGH - IIT DELHI
879 Points
										

Dear sneha,


I recommend that you make a mirror image of the semicircle and the rectangle, flipping about the diameter. Than you will have a rectangle of double area inscribed into a full circle, and the question becomes : what rectangle inscribed into a circle has max area. The answer is the square, due to symmetry (I just restored that symmetry for you). So your initial rectangle inscribed into semicircle was [ r√2 ] x [ r/√2 ].


 




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Sagar Singh


B.Tech IIT Delhi





7 years ago
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