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 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?

Let S be the set of all non-zero real 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 abs(x_1-x_2)lt1 . Which of the following intervals is (are) a subset(s) 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?

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?

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

If the equation cos 2x+alpha sinx=2alpha-7 has a solution. Then range of alpha is (A) R (B) [1,4] (C) [3,7] (D) [2,6]

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