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 |x_1-x_2|<1.Which of the following intervals is (are) a subject(s) of S ? [JEE Adv 2015 P2]

Quadratic Equation and Inequalities

Section: Mathematics

Question : 11 of 23

Marks: +1, -0

Let S be the set of all non zero real numbers α such that the quadratic equation αx2−x+α=0 has two distinct real roots x1 and x2 satisfying the inequality |x1−x2|<1.Which of the following intervals is (are) a subject(s) of S ?

[JEE Adv 2015 P2]

(−
1
2
,−
1
√5
)
(−
1
√5
,0)
(0,
1
√5
)
(
1
√5
,
1
2
)

Validate

Go to Question:

Prev Question

Next Question