Mathematics · 2019
JEE Main · 9 April 2019, Shift 1 · Q84
A plane passing through the points (0, -1, 0) and (0, 0, 1) and making an angle (π)/4 with the plane y-z+5=0, also passes through the point:
A plane passing through the points ($\displaystyle 0$, -$\displaystyle 1$, $\displaystyle 0$) and ($\displaystyle 0$, $\displaystyle 0$, $\displaystyle 1$) and making an angle $\displaystyle \frac{\pi}{4}$ with the plane $\displaystyle y-z+5=0$, also passes through the point :
Official answer
(4)
$\displaystyle (\sqrt{2}, 1,4)$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.