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 point (–1, –1, 1). Then S is equal to:

Three Dimensional Geometry: JEE Main 2019 Mathematics question

JEE Main 2019 · 12 Jan, Evening shift · Q2567

JEE Main 201912 Jan, Evening shiftMathematicsEasyThree Dimensional Geometry249× since 2002

Let S be the set of all real values of

\lambda

such that a plane passing through the points (–

\lambda

², 1, 1), (1, –

\lambda

², 1) and (1, 1, –

\lambda

²) also passes through the point (–1, –1, 1). Then S is equal to :