The circle \( x^{2}+y^{2}+4 \lambda x=0 \) which \( \lambda \in R \) touches the parabola \( y^{...

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The circle \( x^{2}+y^{2}+4 \lambda x=0 \) which \( \lambda \in R \) touches the parabola \( y^{2}=8 x \). The value of \( \lambda \) is given by
(a) \( \lambda \in(0, \infty) \)
(b) \( \lambda \in(-\infty, 0) \)
(c) \( \lambda \in(1 \infty) \)
(d) \( \lambda \in(-\infty, 1) \)
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