Mathematics · 2023
JEE Main · 31 January 2023, Shift 2 · Q76
The foot of perpendicular from the origin O to a plane P which meets the co-ordinate axes at the points A, B, C is (2, a, 4), a ∈ N. If the volume of…
The foot of perpendicular from the origin O to a plane P which meets the co-ordinate axes at the points $\displaystyle \mathrm{A}, \mathrm{B}, \mathrm{C}$ is $\displaystyle (2, \mathrm{a}, 4), \mathrm{a} \in \mathbb{N}$. If the volume of the tetrahedron OABC is $\displaystyle 144$ unit $\displaystyle ^3$, then which of the following points is NOT on P ?
Official answer
From NTA’s final answer key for this paper.
(3)
($\displaystyle 3$, $\displaystyle 0$, $\displaystyle 4$)
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.