If the parabolas \( y^{2}=4 b(x-c) \) and \( y^{2}=8 a x \) have a ...

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If the parabolas \( y^{2}=4 b(x-c) \) and \( y^{2}=8 a x \) have a cơmmon normal, then which one of the following is a valid choice for the ordered \( \operatorname{triad}(a, b, c) \) ?
P (2019 Main, 10 Jan, I)

W
(a) \( \left(\frac{1}{2}, 2,0\right) \)
(b) \( (1,1,0) \)
(c) \( (1,1,3) \)
(d) \( \left(\frac{1}{2}, 2,3\right) \)
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