Consider the three planes \[ \begin{array}{l} P_{1}: 3 x+15 y+21 z=...

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Consider the three planes
\[
\begin{array}{l}
P_{1}: 3 x+15 y+21 z=9 \\
P_{2}: x-3 y-z=5, \text { and } \\
P_{3}: 2 x+10 y+14 z=5
\end{array}
\]
\( \mathrm{P} \)
W
Then, which one of the following is true?
[JEE Main-2021 (February)]
(a) \( P_{1} \) and \( P_{2} \) are parallel.
(b) \( P_{1}, P_{2} \) and \( P_{3} \) all are parallel.
(c) \( P_{1} \) and \( P_{3} \) are parallel.
(d) \( P_{2} \) and \( P_{3} \) are parallel.
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