Mathematics · 2021
JEE Main · 26 February 2021, Shift 1 · Q79
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?
Consider the three planes
$$\begin{aligned}
& \mathrm{P}_1: 3 x+15 y+21 z=9, \\
& \mathrm{P}_2: x-3 y-z=5, \text { and } \\
& \mathrm{P}_3: 2 x+10 y+14 z=5
\end{aligned}
$$
Then, which one of the following is true ?
Official answer
(2)
$\displaystyle \mathrm{P}_1$ and $\displaystyle \mathrm{P}_3$ are parallel.
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.