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ISRO 2011 ECE Mathematics
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I hope $\sum \alpha^2$ means the sum of roots.
Sum of roots $= \alpha^2 + \beta^2 = (\alpha + \beta)^2  2\alpha\beta=$ (sum of roots)$^2$  $2$(prod of roots) = $p^2  2q$.
Hence, the answer is C.
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