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If a line of slope \( m \) is a common tangent to the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1(a \neq b) \) and parabola \( y^{2}=4 a x \), then
(A) \( m \in(0, \infty) \)
(B) \( m \in(-\infty, 2)-\left\{\sqrt{\frac{\sqrt{5}+1}{2}}\right\} \)
(C) \( m \in(-\infty,-1) \cup(1, \infty)-\left\{\pm \sqrt{\frac{\sqrt{5}+1}{2}}\right\} \)
(D) none of these
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