Let `f(x) =4x^2-4ax+a^2-2a+2` be a quadratic polynomial in x,a be any real number. If x-coordinate ofd vertex of parabola y =f(x) is less thna 0 and f(x) has minimum value 3 for `x in [0,2]` then value of a is

Let f(x)=4x^2-4ax+a^2-2a+2 be a quadratic polynomial in x, a be any real number, If x- coordinate of vertex of parabola y=f(x) is less than 0 and f(x) has minimum value 3 for x in [0,2], then value of a is (a) 1+sqrt(2) (b) 1-sqrt(2) (c) 1-sqrt(3) (d) 1+sqrt(3)

Let f(x)=ax^(2)+bx+c, if a>0 then f(x) has minimum value at x=

A polynomial function f(x) is such that f''(4)= f''(4)=0 and f(x) has minimum value 10 at ax=4 .Then

Let f(x) be a quadratic polynomial satisfying f(2) + f(4) = 0. If unity is one root of f(x) = 0 then find the other root.

Let f(x)=2cos ec2x+sec x+cos ecx, then the minimum value of f(x) for x in(0,(pi)/(2)) is

Let f(x)=2+x, x>=0 and f(x)=4-x , x < 0 if f(f(x)) =k has at least one solution, then smallest value of k is

Let f(x)=x^(2)-ax+3a-4 and g(a) be the least value of f(x) then the greatest value of g(a)