JEE Qudratic#10

Algebra Level 3

Let \(\alpha \) and \(\beta\) be the roots quadratic equation, \[0=ax^{2} +bx+c\] If \(\Delta= b^{2}-4ac\) and \( \alpha +\beta ,\alpha ^{2}+\beta ^{2}, \alpha ^{3}+\beta ^{3}\) are in geometric progression, then which of the following is correct?

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