If minimum value of function `f(x) = (1+alpha^2)x^2 - 2alphax +1` is `g(alpha)` then range of `g(alpha)` is

If the function f(x) = x^(2) + alpha//x has a local minimum at x=2, then the value of alpha is

If the function f(x) =x^2+alpha//x has a local minimum at x=2 , then the value of alpha is

The value of parameter alpha , for which the function f(x) =1+alphax, alpha ne 0 is the inverse of itself is:

If f(x)=1+alphax,alphane0 is the inverse of itself, then the value of alpha is :

If the range of function f(x) = (pisqrt2 + cos^-1 alpha) x^2 + 2 (cos^-1beta) x + pisqrt2 - cos^-1alpha is [0,oo) then find the value of |alpha-beta| +2 alphabeta+1.

If the range of function f(x) = (pisqrt2 + cos^-1 alpha) x^2 + 2 (cos^-1beta) x + pisqrt2 - cos^-1alpha is [0,oo) then find the value of |alpha-beta| +2 alphabeta+1.

If the range of function f(x) = (pisqrt2 + cos^-1 alpha) x^2 + 2 (cos^-1beta) x + pisqrt2 - cos^-1alpha is [0,oo) then find the value of |alpha-beta| +2 alphabeta+1.

If the sum of the coefficient in the expansion of (alpha^2x^2-2alphax+1)^(51) vanishes, then find the value of alpha

If the sum of the coefficient in the expansion of (alpha^2x^2-2alphax+1)^(51) vanishes, then find the value of alpha