Mathematics · 2018
JEE Main · 15 April 2018, Shift 1 · Q83
A variable plane passes through a fixed point (3, 2, 1) and meets x, y and z axes at A, B and C respectively. A plane is drawn parallel to y z -plane…
A variable plane passes through a fixed point ($\displaystyle 3$, $\displaystyle 2$, $\displaystyle 1$) and meets $\displaystyle x, y$ and $\displaystyle z$ axes at A, B and C respectively. A plane is drawn parallel to $\displaystyle y z$-plane through A, a second plane is drawn parallel $\displaystyle z x$-plane through B and a third plane is drawn parallel to xy-plane through C. Then the locus of the point of intersection of these three planes, is :
Official answer
(4)
$\displaystyle \frac{3}{x}+\frac{2}{y}+\frac{1}{z}=1$
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JEE Main 2018 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.