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Multiple choice

The roots $r_1, r_2, r_3, r_4$ of the equations $4x^4-ax^3+bx^2-cx+5=0$ are $+$ve and satisfying $\dfrac{r_1}{2}+\dfrac{r_2}{4}+\dfrac{r_3}{5}+\dfrac{r_4}{8}=1$. The value of c is?

  1. $43$
  2. $\dfrac{43}{2}$
  3. $\dfrac{43}{4}$
  4. None of these

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