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The sum of the perimeter of a circle and...

The sum of the perimeter of a circle and square is k, where k is some constant. Prove that the sum of their areas is least when the side of square is double the radius of the circle.

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NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.6
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  10. Find the absolute maximum and minimum values of the function f give...

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  11. Show that the altitude of the right circular cone of maximum volume...

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  12. Let f be a function defined on [a, b] such that f^(prime)(x)>0, for al...

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  13. Show that the height of the cylinder of maximum volume that can be ...

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  14. Show that height of the cylinder of greatest volume which can be insc...

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  15. A cylindrical tank of radius 10 m is being filled with wheat at the r...

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  16. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2) -2t -5 at...

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  18. The normal at the point (1,1) on the curve 2y+x^2=3is(A) x + y = 0 (B)...

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  19. The normal to the curve x^2=4ypassing (1,2) is(A) x + y = 3 (B) x y ...

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