If the equation `cos 2x+alpha sinx=2alpha-7` has a solution. Then range of `alpha` is

If the equation cos2x+alpha sin x=2 alpha-7 has a solution.Then range of alpha is

Let S be the set of all alpha in R such that the equation, cos 2x + alpha sin x = 2alpha -7 has a solution. The S, is equal to

If cos2theta+alphasintheta=2alpha-7 has a solution, then

The system of equations : ax-y-z=alpha-1 x-ay-z=alpha-1 x-y-alphaz=alpha-1 has no solution if alpha is :

The values of alpha for which the equation alpha^2/(1-tan^2x)=(sin^2+alpha^2-2)/(cos2x) has solution can be

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

The values of alpha for which the equation alpha^2/(1-tan^2x)=(sin^2x+alpha^2-2)/(cos2x) has solution can be

The values of alpha for which the equation alpha^2/(1-tan^2x)=(sin^2x+alpha^2-2)/(cos2x) has solution can be