Let \( A \) and \( B \) be two distinct points on the parabola \( y...

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Let \( A \) and \( B \) be two distinct points on the parabola \( y^{2}=4 x \). If the axis of the parabola touches a circle of radius \( r \) having \( A B \) as its diameter, then the slope of the line joining \( A \) and \( B \) can be:
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[IIT-JEE 2010]
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(a) \( -\frac{1}{r} \)
(b) \( \frac{1}{r} \)
(c) \( \frac{2}{r} \)
(d) \( -\frac{2}{r} \)
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