let a,b,c be non-zero real no such that integral (1+(cosx)^8)(ax^2+bx+c)dx when limits applied from 0-1=integral(1+(cosx)^8)(ax^2+bx+c)dx when limits applied from 0-2 . Then the equation ax^2+bx+c=0 has

Question

Options given are (a) no root in (0,1)

                                 (b) at least one root in (1,2)

                                 (c) a double root in (0,1)

                                 d) none of these