If $\alpha, \beta, \gamma$ are the roots of $x^3-2 x^2+4 x-1=0$ then the equation having the roots $\beta…

If $\alpha, \beta, \gamma$ are the roots of $x^3-2 x^2+4 x-1=0$ then the equation having the roots $\beta \gamma+\frac{1}{\alpha}, \alpha \beta+\frac{1}{\gamma}, \gamma \alpha+\frac{1}{\beta}$ is
  1. $x^3+8 x^2-8 x+8=0$
  2. $x^3-8 x^2+16 x-8=0$
  3. $x^3-8 x^2+8 x-8=0$
  4. $x^3-4 x^2+8 x-16=0$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2018 (24 Apr Shift 2)

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