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 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 real numbers such that the quadratic equation alphax^2-x+alpha=0 has two distinct real roots x_1a n dx_2 satisfying the inequality |x_1-x_2|<1. Which of the following intervals is (are) a subset (s) of S ?

Let S be the set of all non-zero real numbers such that the quadratic equation alphax^2-x+alpha=0 has two distinct real roots x_1a n dx_2 satisfying the inequality |x_1-x_2|<1. Which of the following intervals is (are) a subset (s) of S ?

Let S be the set of all non-zero real numbers such that the quadratic equation alphax^2-x+alpha=0 has two distinct real roots x_1a n dx_2 satisfying the inequality |x_1-x_2|<1. Which of the following intervals is (are) a subset (s) of S ? (1/2,1/(sqrt(5))) b. (1/(sqrt(5)),0) c. (0,1/(sqrt(5))) d. (1/(sqrt(5)),1/2)

Let S be the set of all non-zero real numbers such that the quadratic equation alphax^2-x+alpha=0 has two distinct real roots x_1a n dx_2 satisfying the inequality |x_1-x_2|<1. Which of the following intervals is (are) a subset (s) of S ? (1/2,1/(sqrt(5))) b. (1/(sqrt(5)),0) c. (0,1/(sqrt(5))) d. (1/(sqrt(5)),1/2)

Let S be the set of all non-zero real numbers 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 (s) of S?(-(1)/(2),(1)/(sqrt(5))) b.(-(1)/(sqrt(5)),0) c.(0,(1)/(sqrt(5))) d.((1)/(sqrt(5)),(1)/(2)) b.

Let S be the set of the non zero real numbers alpha such that the quadratic equation alphax^(2)-x+alpha=0 has two distinct real roots x_(1)andx_(2) satisfying the inequlity |x_(1)-x_(2)|lt1 . Which of the following intervals is (are) a subset (s) of s?

Let b be a non-zero real number. Suppose the quadratic equation 2x^2+bx+1/b = 0 has two distinct real roots. Then

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