Let \[a,\,\,b,\,\,c\] be non-zero real numbers such that \[\int_{0}^{3}{(3a{{x}^{2}}+2bx+c)\,dx}=\int_{1}^{3}{(3a{{x}^{2}}+2bx+c})\,dx\,,\] then [BIT Ranchi 1991]

Let \[a,\,\,b,\,\,c\] be non-zero real numbers such that \[\int_{0}^{3

1.	Let \[a,\,\,b,\,\,c\] be non-zero real numbers such that \[\int_{0}^{3}{(3a{{x}^{2}}+2bx+c)\,dx}=\int_{1}^{3}{(3a{{x}^{2}}+2bx+c})\,dx\,,\] then [BIT Ranchi 1991]
A.	\[a+b+c=3\]
B.	\[a+b+c=1\]
C.	\[a+b+c=0\]
D.	\[a+b+c=2\]
Answer» D. \[a+b+c=2\]

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Let \[a,\,\,b,\,\,c\] be non-zero real numbers such that \[\int_{0}^{3}{(3a{{x}^{2}}+2bx+c)\,dx}=\int_{1}^{3}{(3a{{x}^{2}}+2bx+c})\,dx\,,\] then [BIT Ranchi 1991]

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