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

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

Show that all the rectangles with a given perimeter, the square has the largest area.

Show that all the rectangles with a given perimeter, the square has the largest area.

Show that of all the rectangles of given area, the square has the smallest perimeter.

Prove that the rectangle circumscribing a circle is a square

Rectangles are inscribed inside a semi-circle of radius rdot Find the rectangle with maximum area.

Statement I :Among all the rectangles of the given perimeter, the square has the largest area. Also among all the rectangles of given area, the square has the least perimeter. Statement II :For xgt0,ygt0,ifx+y = constant, then xy will be maximum for y=x and if xy=constant, then x+y will be minimum for y=x.

A square is inscribed in a circle of radius 7 cm. Find the area of the square.

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

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

RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. The maximum value of x^(1/x),x >0 is (a)e^(1/e) (b) (1/e)^e (c)...

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  2. Let f(x)=(x-a)^2+(x-b)^2+(x-c)^2dot Then, f(x) has a minimum at x= (a...

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  3. Show that of all the rectangles inscribed in a given fixed circle, ...

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  4. AB is a diameter of a circle and C is any point on the circumference o...

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  5. Find the points of local maxima and local minima, if any, y = 3x^3+...

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  6. Find the local maximum and local minimum value of f(x)=secx+logcos^2x...

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  7. Amongst all pairs of positive numbers with product 256, find those ...

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  8. Find two positive numbers whose sum is 14 and the sum of whose squa...

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  9. A beam is supported at the two ends and is uniformly loaded. The ben...

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  10. Show that all the rectangles with a given perimeter, the square has...

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  11. Find all the points of local maxima and local minima of the functio...

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  12. Show that the function f(x)=4x^3-18 x^2+27 x-7 has neither maxima nor ...

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  13. Find all the points of local maxima and minima and the correspondin...

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  14. Find all the points of local maxima and minima and the corresponding...

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  15. Find the points of local maxima, local minima and the points of inf...

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  16. Find the point of local maxima or local minima of the function f(x) ...

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

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  18. Show that the total surface area of a closed cuboid with square bas...

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  19. Find the maximum and the minimum values, if any, of the following f...

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  20. Find the maximum and the minimum values, if any, of the following f...

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