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Application of Derivatives question

2016 · Shift 1 · Q24
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  4. /Application of Derivatives
  5. /2016 · Shift 1 · Q24

Application of Derivatives question

2016 · Shift 1 · Q24

JEE AdvancedMathematicsApplication of DerivativesMCQ+3 / −1
The least value of a ∈R\in R∈R for which 4ax2+1x≥1,4a{x^2} + {1 \over x} \ge 1,4ax2+x1​≥1,, for all x>0x\gt 0x>0. is
  1. A
    164{1 \over {64}}641​
  2. B
    132{1 \over {32}}321​
  3. C
    127{1 \over {27}}271​
  4. D
    125{1 \over {25}}251​
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