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Multiple choice

Let $f$, $g$, $h$ be the lengths of the perpendiculars from the circumcentre of the $ \Delta ABC$ on the sides BC, CA and AB respectively. If $\displaystyle \frac{a}{f}+\frac{b}{g}+\frac{c}{h}=\lambda \frac{abc}{fgh},$ then the value of $\displaystyle "\lambda "$ is

  1. $\dfrac14$
  2. $\dfrac12$
  3. $1$
  4. $2$
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