Mathematics · 2022
JEE Main · 28 July 2022, Shift 2 · Q76
A plane P is parallel to two lines whose direction ratios are -2,1,-3 and -1,2,-2 and it contains the point (2,2,-2). Let P intersect the co-ordinate…
A plane $\displaystyle P$ is parallel to two lines whose direction ratios are $\displaystyle -2,1,-3$ and $\displaystyle -1,2,-2$ and it contains the point $\displaystyle (2,2,-2)$. Let P intersect the co-ordinate axes at the points $\displaystyle \mathrm{A}, \mathrm{B}, \mathrm{C}$ making the intercepts $\displaystyle \alpha, \beta, \gamma$. If V is the volume of the tetrahedron OABC, where O is the origin, and $\displaystyle \mathrm{p}=\alpha+\beta+\gamma$, then the ordered pair (V, p) is equal to:
Official answer
(2)
$\displaystyle (24, -13)$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.