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The sum of two numbers is 16. If their p...

The sum of two numbers is 16. If their product is maximum then the numbers are

A

12,4

B

10,6

C

8,8

D

2,14

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-III
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  4. The maximum value of xy subject to x+y =7 is

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  5. f(x)=sqrt3 sinx+cosx has a greatest value when x=

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  6. The least value of e^x+e^(-x) is

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  8. A quadratic function in x has the value 9 when x = 1 and has a maximum...

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  9. The absolute maximum of f(x)=x^3-3x+2 in [0,2] is

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  10. In the interval [0,1] the function x^(25)(1-x)^(75) takes a maximum va...

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  11. When x in [-6,8] the maximum value of (x+6)^4(8-x)^3 is

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  12. The maximum and minimum value of f(x)=(x-8)^4(x-9)^5 occurs at x=

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  13. If x,y are strictly positive such that x+y=1 then the minimum value of...

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  14. If x,y = 12 then the minimum value of x^2+y^2 is

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  15. The function f(x)=(x-1)^2+(x-2)^2+(x-3)^2+……+(x-9)^2 has minimum value...

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  16. The maximum hight of the curve y=6cosx-8sinx above the x-axis

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  17. f(x)=ae^x+be^(-x)(abgt0) has maximum value when

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  18. Find the point on the curve y^2=4x which is nearst to the point (2,1)

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  19. Observe the following statements : List-I: (A) If x+y=k then x^2+y^...

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  20. Statement-I : The maximum value of (logx)/x" in "0ltxltoo" is "2/e S...

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