Q .     The least value of ` a\in R` for which ` 4a x ^{ 2 }+\frac { 1 }{ x } \ge 1`, for all ` x > 0`, is

JEE 2016 ADVANCED Paper 1
A

`\frac { 1 }{ 64 }`

B

` \frac { 1 }{ 32 }`

C

`\frac { 1 }{ 27 }`

D

`\frac { 1 }{ 25 }`

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