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Show that of all the rectangles inscr...

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

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The correct Answer is:
`- 64 r^(2) lt 0`
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OSWAAL PUBLICATION-APPLICATIONS OF DERIVATIVES-TOPIC - 5 MAXIMA AND MINIMA (LONG ANSWER TYPE QUESTIONS - II)
  1. Show that of all the rectangles inscribed in a given circle, the sq...

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  2. A jet of enemy is along the curve y=x^2+2 and a soldier is placed at (...

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  3. A B is a diameter of a circle and C is any point on the circle. ...

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  4. Find the point P on the curve y^(2) = 4ax which is nearest to the poin...

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  5. If the length of three sides of a trapezium other than the base is ...

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  6. Show that the semi-vertical angle of the cone of the maximum volume an...

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  7. Prove that the semi-vertical angle of the right circular cone of given...

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  8. From all the closed right circular closed cylindrical can of volume 1...

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  9. Prove that the radius of the right circular cylinder of greatest curve...

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  10. Prove that the height of the cylinder of maximum volume, that can be i...

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  11. If the sum of the lengths of the hypotenues and a side of a right a...

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  12. The sum of the perimeters of a circle and a square is k , where k is s...

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  13. Find the area of the greatest rectangle that can be inscribed in an...

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  14. Prove that the radius of the right circular cylinder of greatest cu...

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  15. Show that the right-circular cone of least curved surface and given...

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  16. Prove that the area of right-angled triangle of given hypotenuse is...

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  17. An open box, with a square base, is to be made out of a given quant...

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  18. Show that the height of a closed right circular cylinder of given s...

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  19. Show that a cylinder of a given volume which is open at the top has...

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  20. Find the point on the curve y^2= 2x which is at a minimum distance fro...

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