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If p,q be non zero real numbes and f(x)!...

If `p,q` be non zero real numbes and `f(x)!=0, in [0,2]` and `int_0^1 f(x).(x^2+px+q)dx=int_0^2 f(x).(x^2+px+q)dx=0` then equation `x^2+px+q=0` has (A) two imginary roots (B) no root in `(0,2)` (C) one root in `(0,1)` and other in `(1,2)` (D) one root in `(-oo,0)` and other in `(2,oo)`

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