Mathematics · 2019
JEE Main · 12 January 2019, Shift 2 · Q83
Let S be the set of all real values of λ such that a plane passing through the points (-λ^2, 1,1),(1,-λ^2, 1) and (1,1,-λ^2) also passes through the…
Let $\displaystyle S$ be the set of all real values of $\displaystyle \lambda$ such that a plane passing through the points $\displaystyle \left(-\lambda^2, 1,1\right),\left(1,-\lambda^2, 1\right)$ and $\displaystyle \left(1,1,-\lambda^2\right)$ also passes through the point $\displaystyle (-1,-1,1)$. Then S is equal to:
Official answer
(4)
$\displaystyle \{\sqrt{3},-\sqrt{3}\}$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.