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Mathematics · 2023

JEE Main · 1 February 2023, Shift 1 · Q89

A(2,6,2), B(-4,0, λ), C(2,3,-1) and D(4,5,0),|λ| ≤ 5 are the vertices of a quadrilateral A B C D. If its area is 18 square units, then 5-6 λ is equal…

$\displaystyle A(2,6,2), B(-4,0, \lambda), C(2,3,-1)$ and $\displaystyle D(4,5,0),|\lambda| \leq 5$ are the vertices of a quadrilateral $\displaystyle A B C D$. If its area is $\displaystyle 18$ square units, then $\displaystyle 5-6 \lambda$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.