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MHT CET · Maths · Application of Derivatives

The minimum value of \(\mathrm{a} x+\) by where \(x \mathrm{y}=\mathrm{c}^2\) is

  1. A \(2 c \sqrt{a b}\)
  2. B \(2 a b \sqrt{c}\)
  3. C \(-2 c \sqrt{a b}\)
  4. D \(2 c(a b)\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(2 c \sqrt{a b}\)

Step-by-step Solution

Detailed explanation

\(ax+by \ge 2\sqrt{ax \cdot by}\) \(ax+by \ge 2\sqrt{abxy}\)