[" Q14.Let "S" be the set of all "alpha in R" such that the equation,"cos2x+alpha sin x=2 alpha-7" has a 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

The equation sin^(-1)x=2sin^(-1)alpha has a solution

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 range of alpha for which the equation sin^(4)x+cos^(4)x+sin2x+alpha=0 has solution

Let S be the set of all non-zero numbers alpha such that the quadratic equation alphax^2-x+alpha=0 has two distinct real roots x_1, and x_2 satisfying the inequality |x_1-x_2|lt1 which of the following intervals is(are) a subset of S?

Let S be the set of all non-zero numbers alpha such that the quadratic equation alphax^2-x+alpha=0 has two distinct real roots x_1, and x_2 satisfying the inequality |x_1-x_2|lt1 which of the following intervals is(are) a subset of S?