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The least value of alpha in R for which ...

The least value of `alpha in R` for which `4alphax^(2)+(1)/(x)ge1,` for all `xgt0,` is

A

`(1)/(64)`

B

`(1)/(32)`

C

`(1)/(27)`

D

`(1)/(25)`

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The correct Answer is:
C
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