[" Let S be the set of all "alpha in R" such that the "],[" equation,"cos2x+alpha sin x=2 alpha-7hasa],[" solution.Then "S" is equal to : "]

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

Let the set of all a in R such that the equation cos2x+a sin x=2a-7 has a solution be [p,q] and r=tan9^(@)-tan27^(@)-(1)/(cot63^(@))+tan81^(@) ,then pqr is equal to

Let S be the set of all non-zero numbers alpha such that the quadratic equation alpha x^(2)-x+alpha=0 has two distinct real roots x_(1), and x_(2) satisfying the inequality |x_(1)-x_(2)|<1 which of the following intervals is(are) a subset of S?

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

The set of values of alpha for which the equation "sin"^(4) x + "cos"^(4) x + "sin" 2x + alpha =0 possesses a solution, is

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