The values of \( m \) for which a line with slope \( m \) is common tangent to the hyperbola \...

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The values of \( m \) for which a line with slope \( m \) is common tangent to the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1(a \neq b) \) and parabola \( y^{2}=4 a x \) be
\( -(a) \quad(-\infty,-1) \cup(1, \infty)-\left\{+\sqrt{\frac{2+\sqrt{5}}{2}}\right\} \)
(b) \( (-\infty,-1) \cup(1, \infty)-\left\{ \pm \sqrt{\frac{1+\sqrt{5}}{2}}\right\} \)
\( (c) \quad(-\infty,-1) \cup(1, \infty) \)
\( (d) \quad(-\infty,-2) \cup(4, \infty)-\left\{+\sqrt{\frac{2+\sqrt{5}}{2}}\right\} \)
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