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Question

I: The real number x when added to its inverse gives the minimum positive value of the sum at x = 1
II: If product of the two positive numbers is 400, then the minimum value of their sum is 20
which of the above statements are true

A
only I is true
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B
only II is true
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C
both I and II are true
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D
niether I nor II are true
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Solution

The correct option is D only I is true
(I) x+1x=f(x)
Use AM & GM
x+1x2(1)12
x+1x2
(II) xy=400
f(x)=x+400x
Use AM & GM
x+400x2(400)12
x+400x40

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