1.

If \[a,b,c\] are real numbers such that \[a+b+c=0,\] then the quadratic equation \[3a{{x}^{2}}+2bx+c=0\]has [MNR 1992; DCE 1999]

A. At least one root in [0, 1]
B. At least one root in [1, 2]
C. At least one root in \[[-1,\,0]\]
D. None of these
Answer» B. At least one root in [1, 2]


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