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Consider the three planes \(P_{1}: 3 x+15 y+21 z=9\), \(P_{2}: x-3 y-z=5\) and \(P_{3}: 2 x+10 y+14 z=5\). Then, which o…

Q1

Consider the three planes \(P_{1}: 3 x+15 y+21 z=9\), \(P_{2}: x-3 y-z=5\) and \(P_{3}: 2 x+10 y+14 z=5\). Then, which one of the following is true?

[JEE Main 2021, 26 Feb (Shift 1)]

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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