If the real and distinct roots \( \alpha \) and \( \beta \) of the ... VIDEO
If the real and distinct roots \( \alpha \) and \( \beta \) of the equation
\( \mathrm{P} \) \( x^{2}+1=\frac{x}{a} \) satisfy \( \left|\alpha^{2}-\beta^{2}\right|\frac{1}{a} \), then ' \( a \) ' belongs to
W
(1) \( \left(-\frac{1}{2}, 0\right) \cup\left(0, \frac{1}{2}\right) \)
(2) \( \left(-\frac{1}{2}, 0\right) \cup\left(0, \frac{1}{\sqrt{5}}\right) \)
(3) \( \left(-\frac{1}{\sqrt{5}}, 0\right) \cup\left(0, \frac{1}{\sqrt{5}}\right) \)
(4) None of these
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