# 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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