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If xgt0,ygt0,x+y=3 and xy is maximum the...

If `xgt0,ygt0,x+y=3` and xy is maximum then the maximum value of xy is

A

`9//4`

B

`3//2`

C

`5//6`

D

`2//7`

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AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-II
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  7. The difference of two positive numbers is 10 . If the square of the gr...

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  8. The positive real number which most exceeds its cube is

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  9. The points on y=x^2+7x+2 which is closest to the line y=3x-3 is

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  10. If x is real, then the minimum value of y=(x^(2)-x+1)/(x^(2)+x+1) is

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  11. The maximum value of the area of the triangle with vertices (a,0) ,(a ...

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  12. The height of the cylinder of maximum volume which can be inscribed i...

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  13. The maximum value of f(x) =2x^3-21x^2+36x+20 , in the interval 0 le x ...

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  14. The largest value of f(x)=2x^(3)-3x^(2)-12x+5 for -2lexle4 occurs at x...

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  15. If ma and M respectively denote the minimum and maximum of f(x) =(x-1)...

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  16. The difference between the greatest and the least values of the functi...

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  17. The maximum area of a rectangle of perim-eter 176 cm is

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  18. The perimeter of a sector is given. The area is maximum when the angle...

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  19. The dimensions of a rectangle of maximum area with perimeter 2P are

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