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Prove that the triangle of maximum area ...

Prove that the triangle of maximum area that can be incsribed in a given circle is an equilateral triangle.

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CHHAYA PUBLICATION-MAXIMA AND MINIMA -EXERCISE Long Answer Type Questions
  1. The length of the hypotenuse of a right angled triangle is a Find the ...

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  2. The length of the hypotenuse of a right angled triangle is a Find the ...

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  3. A box with square top and bottom is to be made to contain 250 cm^(3) M...

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  4. A firm produces x units of output per week at a total cost of Rs. ((1)...

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  5. A radio manufacturer produces x sets per week at a total cost of Rs. (...

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  6. Prove that the triangle of maximum area that can be incsribed in a giv...

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  7. A figure consists of a semi - circle with a rectangle on its diameter...

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  8. Show that the height of the cylinder of maximum volume that can be in...

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  9. An open box with a square base is to be made out of a given quantity o...

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  10. A wire of length 28 m is to be cut into two pieces . One of the pieces...

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  11. A closed right circular cylinder has volume 2156cm^(3) . What will be...

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  12. Show that the height of the cone of maximum volume that can be inscrib...

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  13. Show that the surface area of a closed cuboid with square base and giv...

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  14. Manufacturer can sell x items at a price of Rs. (5-(x)/(100)) each . T...

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  15. Show that the maximum volume of the cylinder which can be inscribed in...

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  16. An open box is to be made out of a piece of cardboard measuring (24cmx...

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  17. If the sum of the lengths of the hypotenuse and another side of a righ...

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  18. The three sides of a trapezium are each of length 8 cm . Find the maxi...

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  19. A straight line passing through the point (a,b) [where agt0and bgt0] ...

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  20. Find the coordinates of the point on the curve y=(x)/(1+x^(2)) where ...

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