Question

Let \(A, B\) 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 diameter, the slope of the line \(A B\) is
(A) \(-\frac{1}{r}\)
(B) \(\frac{1}{r}\)
(C) \(\frac{2}{r}\)
(D) \(-\frac{2}{r}\)

Ans(C,D)

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