If $\alpha$ and $\beta$ are the roots of $a x^2+b x+c=0$, then the roots of $a x^2-b x(x-1)+c(x-1)^2=0$ are

If $\alpha$ and $\beta$ are the roots of $a x^2+b x+c=0$, then the roots of $a x^2-b x(x-1)+c(x-1)^2=0$ are
  1. $\frac{\alpha+1}{\alpha}, \frac{\beta+1}{\beta}$
  2. $\frac{\alpha}{\alpha+1}, \frac{\beta}{\beta+1}$
  3. $\frac{\alpha}{\beta}, \frac{\beta}{\alpha}$
  4. $\frac{\alpha-1}{\alpha+1}, \frac{\beta-1}{\beta+1}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (25 Apr Shift 2)

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