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