`(1)/(ax^2+bx+c)`

If a,b,c are non-zero real numbers such that int_(0)^(1) ( 1+ cos^(8) x) (ax^(2) + bx + c ) dx = int _(0)^(2) (1+cos^(8)x) (ax^(2) + bx + c ) dx = 0 ,then the equation ax^(2) + bx +c = 0 will have

Evalute the following integrals int (ax^(2) + bx + c) dx

Let alpha and beta be the distinct roots of ax^(2)+bx+c=0," then "underset(x to a)lim (1-cos(ax^(2)+bx+c))/((x-alpha)^(2))

If 'alpha' is a repeated root of ax^(2)+bx+c=0 then Lt_(x to alpha)(tan(ax^(2)+bx+c))/((x-alpha)^(2))=

Product of the roots of ax^(2) + bx + c = 0 is…

Sum of the roots of ax^(2) + bx + c = 0 is..

Focus of parabola y = ax^(2) + bx + c is