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

Let f(x)=(x-2)^2x^n, n in N Then f(x) has a minimum at

Let f(x)=x^(2)+ax+b. If the maximum and the minimum values of f(x) are 3 and 2 respectively for 0<=x<=2, then the possible ordered pairs) of (a,b) is/are

Consider the polynomial f(x)=ax^(2)+bx+c. If f(0),f(2)=2 then the minimum value of int_(0)^(2)|f'(x)dx is

Let f(x)=(1+b^(2))x^(2)+2bx+1 and let m(b) be the minimum value of f (x). As b varies, the range of m (b) is

Let f(x0=(1+b^(2))x^(2)+2bx+1 and let m(b) be the minimum value of f(x). As b varies, the range of m(b) is

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)=ax^(2)+bx+a,b,c in R. If f(x) takes real values for real values of x and non- real values for non-real values of x ,then a=0 b.b=0 c.c=0 d.nothing can be said about a,b,c.