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General — Medium JEE math MCQ

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

Solution

The correct option is **C**.

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
The least value of α∈R\alpha \in \mathbb{R} for which 4αx2+1x≥14 \alpha x^{2}+\frac{1}{x} \geq 1, for all x>0x>0, is
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General — Medium JEE Mathematics MCQ | MyGoalPrep