Mathematics · 2023
JEE Main · 6 April 2023, Shift 1 · Q14
One vertex of a rectangular parallelopiped is at the origin O and the lengths of its edges along x, y and z axes are 3, 4 and 5 units respectively.…
One vertex of a rectangular parallelopiped is at the origin O and the lengths of its edges along $\displaystyle x, y$ and $\displaystyle z$ axes are $\displaystyle 3$, $\displaystyle 4$ and $\displaystyle 5$ units respectively. Let P be the vertex ($\displaystyle 3,4,5$). Then the shortest distance between the diagonal OP and an edge parallel to z axis, not passing through O or P is:
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle \frac{12}{5}$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.