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

Let f(x)=(1+b^(2))x^(2)+2bx+1 and let m(b) the minimum value of f(x) as b varies, the range of m(b) is (A) [0,1](B)(0,(1)/(2)] (C) [(1)/(2),1](D)(0,1]

Let f(x) = (x^(2))/((1+x^(2)) .Then range (f ) =?

Let f(x) =(1)/((1-x^(2)) . Then range (f )=?

Let f(b) be the minimum value of the expression y=x^(2)-2x+(b^(3)-3b^(2)+4)AA x in R . Then, the maximum value of f(b) as b varies from 0 to 4 is

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

Let f(x) is ax^(2)+bx+c;(3a+b>0) and f(x)>=0 AA x in R, then minimum value of (4a+2b+c)/(3a+b) is