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If the product of two positive numbers i...

If the product of two positive numbers is 400 then the minimum value of their sum is

A

8

B

12

C

32

D

40

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. A cubic function of x has maximum 10 and minimum -5/2, when x = -3 and...

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  2. The real number x when added to its inverse gives the minimum value of...

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  3. If the product of two positive numbers is 400 then the minimum value o...

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  4. The sum of two positive numbers is 12. The numbers so that the sum of ...

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  5. The difference of two positive numbers is 10 . If the square of the gr...

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  6. The sum of three numbers is 30 . The first plus three times the second...

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  7. Divide 64 into two parts such that the sum of the cubes of two parts i...

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  8. The maximum value of xy subject to x+y =7 is

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  9. The sum of two numbers is 20 . If the product of the square of one num...

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  10. The ratio of the two parts of a number 'a' such that the product of th...

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  11. If x, y, k, m, n are positive and x + y = k, then find the maximum val...

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  12. The difference of a number and its square is maximum, then the number ...

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  13. If alpha,beta are the roots of the quadratic equation x^2-(a-2)x-(a+1)...

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  14. The value of a so that the sum of the squares of roots of the equation...

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  15. The function f(x) = a sin x +1/3 sin 3x has maximum value at x=pi/3. T...

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  16. The focal distance of the point (4,2) on the parabola x^(2)=8y is

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  17. The equation of the normal to the curve x^2=4y at (2,1) is

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  18. The point on the curve y=x^2 which is nearest to (3,0) is

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  19. The point on the curve x^2=2y which is closest to the point (0,5) is

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  20. The minimum distance from the origin to a point on the curve x^(2//3) ...

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