The least value of a ∈ R for which 4 a x^ 2 + 1 x 1, for all x > 0, is

Mathematics · JEE Advanced · NTA ExamsComplex Numbers and Quadratic Equations

The least value of a R for which \(4 a x^{2}+\frac{1}{x} \geq 1,\) for all
x > 0, is
  1. 1/64
  2. 1/32
  3. 1/27
  4. 1/25

Answer

(C) 1/27

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