Let `f(x)=x^(2)-3x+1` if `c_(1)` and `c_(2)` are two values of `c` for which tangent line to graph of `f(x)` at point `(c,f(c))` intersects `x` axis at `(3,0)` then `(c_(1)+c_(2))` is

Suppose f(x)=x^(2)-3x+1 .If c_(1) and c_(2) are the two values of c for which the tangent line to the graph of f(x) at the point (c,f(c)) intersects at the point (-3,0) then (c_(1)+c_(2)) equals

Let f(x)=ax^(2)+bx+c, if f(-1) -1,f(3)<-4 and a!=0 then

Let f(x)=x^(2)+bx+c AA x in R,(b,c in R) attains its least value at x=-1 and the graph of f(x) cuts y-axis at y=2

If f(x)=ax^2-3x+c where f(2)=3 and f(3) =10, then: (a,c)-=

Let f (x) = x^(2) -2. If int _(3) ^(6) f (x)dx =3f (c ) for some c in (3,6) then the value of c is equal to

Let f(x)=ax^(2)+bx+c"such that "f(1)=f(-1) and a, b, c, are in Arithmetic Progression. f"(a), f"(b), f"(c) are

Let f(x)=ax^(2)+bx+c"such that "f(1)=f(-1) and a, b, c, are in Arithmetic Progression. f'(a), f'(b), f'(c) are

The graph of f(x)=x^(2) and g(x)=cx^(3) intersect at two points,If the area of the region over the interval [0,(1)/(c)] is equal to (2)/(3) then the value of ((1)/(c)+(1)/(c^(2))) is

Let f (x) =x ^(2) + bx + c AA in R, (b,c, in R) attains its least value at x =- and the graph of f (x) cuts y-axis at y =2. The value of f (-2) + f(0) + f(1)=

Let f(x) = x^3 –4x^2 + 8x + 11 , if LMVT is applicable on f(x) in [0, 1], value of c is :