JEE Math Practice Question
The least value of $\alpha \in \mathbb{R}$ for which $4 \alpha x^{2}+\frac{1}{x} \geq 1$, for all $x>0$, is
- A.$\frac{1}{64}$
- B.$\frac{1}{32}$
- C.$\frac{1}{27}$
- D.$\frac{1}{25}$
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