Question

Let S be the set of all non - zero real numbers ß such that the quadratic equation ßX² - X + ß = 0 has two distinct real roots X1 and X2 satisfying the inequality |X1 - X2| < 1. Which of the following interval is (are) a subset(s) of S ?

(A) (-1/2 , -1/√5)
(B) (-1/√5 , 0)
(C) (0 , 1/√5)
(D) (1/√5 , 1/2)



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Answer 1

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