Let S be the set of all real values of λ such... | 3D Geometry | JEE Main

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JEE MAIN 2019

12-01-2019 S2

Question

Let $S$ be the set of all real values of $\lambda$ such that a plane passing through the points $\left(-\lambda^2, 1,1\right)$, $\_\_\_\_$ $\left(1,-\lambda^2, 1\right)$ and $\left(1,1,-\lambda^2\right)$ also passes through the point $(-1,-1,1)$. Then $S$ is equal to

Select the correct option:

A

$\{1,-1\}$

B

$\{\sqrt{3}\}$

C

$\{\sqrt{3},-\sqrt{3}\}$

D

$\{3,-3\}$

✓ Correct! Well done.

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