Mathematics · 2021
JEE Main · 27 August 2021, Shift 2 · Q77
The equation of the plane passing through the line of intersection of the planes r ·( i + j + k )=1 and r ·(2 i +3 j - k )+4=0 and parallel to the x…
The equation of the plane passing through the line of intersection of the planes
$$\overrightarrow{\mathbf{r}} \cdot(\hat{i}+\hat{j}+\hat{k})=1 \text { and } \overrightarrow{\mathbf{r}} \cdot(2 \hat{i}+3 \hat{j}-\hat{k})+4=0 \text { and parallel to the } x \text {-axis is : }
$$
Official answer
(4)
$\displaystyle \overrightarrow{\mathrm{r}} \cdot(\hat{j}-3 \hat{k})+6=0$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.