JEE Advanced 2015 Paper 2 Mathematics Q9

Mathematics

Problem

Let SS be the set of all non-zero real numbers α\alpha such that the quadratic equation αx2−x+α=0\alpha x^2-x+\alpha=0 has two distinct real roots x1x_1 and x2x_2 satisfying the inequality ∣x1−x2∣<1|x_1-x_2|<1. Which of the following intervals is(are) a subset(s) of SS?

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