Mathematics · 2021
JEE Main · 3 August 2021, Shift 1 · Q68
A plane passes through the points A (1,2,3), B (3,5,2) and C (2,1,5). If P (a, b, c) be a point such that a(b+c)=b c, then the acute angle which the…
A plane passes through the points $\displaystyle \mathrm{A}(1,2,3), \mathrm{B}(3,5,2)$ and $\displaystyle \mathrm{C}(2,1,5)$. If $\displaystyle \mathrm{P}(a, b, c)$ be a point such that $\displaystyle a(b+c)=b c$, then the acute angle which the line OP (O is the origin and $\displaystyle \mathrm{P} \neq \mathrm{O}$ ) makes with the plane is
Official answer
(2)
$\displaystyle \sin ^{-1}\left(\frac{1}{\sqrt{3}}\right)$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.