12th Class
Mathematics
Sample Paper
Maths Olympiad Model Paper-9
question_answer
Let a, b, c be non-zero real number such that \[\int_{0}^{1}{(1+{{\cos }^{8}}x)\,\,(a{{x}^{2}}+bx+c)\,\,dx}\]\[=\int_{0}^{2}{(1+{{\cos }^{8}}x)\,\,(a{{x}^{2}}+bx+c)\,\,dx.}\]Then the quadratic equation \[a{{x}^{2}}+bx+c=0\] has