Let S be the set of non... | JEE Advanced 2015 | Mathematics

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JEE Advance 2015

Paper-2 2015

Multiple correct answers - Select all that apply

Question

Let $S$ be the set of all non-zero real 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 $\left|x_1-x_2\right|<1$. Which of the following intervals is(are) a subset(s) of S ?

Select ALL correct options:

A

$\left(-\frac{1}{2},-\frac{1}{\sqrt{5}}\right)$

B

$\left(-\frac{1}{\sqrt{5}}, 0\right)$

C

$\left(0, \frac{1}{\sqrt{5}}\right)$

D

$\left(\frac{1}{\sqrt{5}}, \frac{1}{2}\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

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