If x>0, y>0, 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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Solution

x+y=3 xy maximum at x=y x+x=3 X=(1/2) Y=1/2 xy=9/4

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