If \( \alpha, \beta \) are the roots of \( a x^{2}+b x+c=0 \) and \...

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If \( \alpha, \beta \) are the roots of \( a x^{2}+b x+c=0 \) and \( \alpha+\beta \),
P \( \alpha^{2}+\beta^{2}, \alpha^{3}+\beta^{3} \) are in GP, where \( \Delta=b^{2}-4 a c \), then

W
[IIT-JEE 2005, 3M]
(a) \( \Delta \neq 0 \)
(b) \( b \Delta=0 \)
(c) \( c b \neq 0 \)
(d) \( c \Delta=0 \)
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