If \[\alpha \] and \[\beta \] are the roots of the equation \[a{{x}^{2}}+bx+c=0\] \[(a\ne 0;\]\[a,b,c\] being different), then \[(1+\alpha +{{\alpha }^{2}})\] \[(1+\beta +{{\beta }^{2}})\] = [DCE 2000]

If \[\alpha \] and \[\beta \] are the roots of the equation \[a{{x}^

1.	If \[\alpha \] and \[\beta \] are the roots of the equation \[a{{x}^{2}}+bx+c=0\] \[(a\ne 0;\]\[a,b,c\] being different), then \[(1+\alpha +{{\alpha }^{2}})\] \[(1+\beta +{{\beta }^{2}})\] = [DCE 2000]
A.	Zero
B.	Positive
C.	Negative
D.	None of these
Answer» C. Negative

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If \[\alpha \] and \[\beta \] are the roots of the equation \[a{{x}^{2}}+bx+c=0\] \[(a\ne 0;\]\[a,b,c\] being different), then \[(1+\alpha +{{\alpha }^{2}})\] \[(1+\beta +{{\beta }^{2}})\] = [DCE 2000]

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