Le \( P_{1} \) and \( P_{2} \) be two planes given by \[ \begin{array}{l} P_{1}: 10 x+15 y+12 z-...

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Le \( P_{1} \) and \( P_{2} \) be two planes given by
\[
\begin{array}{l}
P_{1}: 10 x+15 y+12 z-60=0 \\
P_{2}:-2 x+5 y+4 z-20=0
\end{array}
\]
Which of the following straight lines can be an edge of some tetrahedron whose two faces lie on \( P_{1} \) and \( P_{2} \) ?
(a) \( \frac{x-1}{0}=\frac{y-1}{0}=\frac{z-1}{5} \)
(b) \( \frac{x-6}{-5}=\frac{y}{2}=\frac{z}{3} \)
(c) \( \frac{x}{-2}=\frac{y-4}{5}=\frac{z}{4} \)
(d) \( \frac{x}{1}=\frac{y-4}{-2}=\frac{z}{3} \)
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