Circles \( x^{2}+y^{2}=1 \) and \( x^{2}+y^{2}-8 x+11=0 \) cut off equal intercepts on a line th...

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Circles \( x^{2}+y^{2}=1 \) and \( x^{2}+y^{2}-8 x+11=0 \) cut off equal intercepts on a line through the point \( \left(-2, \frac{1}{2}\right) \). The slope of the line is
(a) \( \frac{-1+\sqrt{29}}{14} \)
(b) \( \frac{1+\sqrt{7}}{4} \)
(c) \( \frac{-1-\sqrt{29}}{14} \)
(d) none of these
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