Mathematics · 2021
JEE Main · 26 August 2021, Shift 2 · Q79
Let P be the plane passing through the point (1,2,3) and the line of intersection of the planes r ·( i + j +4 k )=16 and r ·(- i + j + k )=6. Then…
Let P be the plane passing through the point $\displaystyle (1,2,3)$ and the line of intersection of the planes
$$\overrightarrow{\mathrm{r}} \cdot(\hat{i}+\hat{j}+4 \hat{k})=16 \text { and } \overrightarrow{\mathrm{r}} \cdot(-\hat{i}+\hat{j}+\hat{k})=6 .
$$
Then which of the following points does NOT lie on P ?
Official answer
(3)
($\displaystyle 4$, $\displaystyle 2$, $\displaystyle 2$)
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.