Let S be the set of all real values of λ 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 : [12 Jan 2019 Shift 2]

Correct Answer is : {√3−√3}

Three Dimensional Geometry Part 1

Section: Mathematics

Question : 25 of 100

Marks: +1, -0

Let S be the set of all real values of λ such that a plane passing through the points (–λ2, 1, 1), (1, –λ2, 1) and (1, 1, –λ2) also passes through the point (–1, –1, 1). Then S is equal to :

[12 Jan 2019 Shift 2]

√3
{√3−√3}
{1 , –1}
{3, –3}

Validate

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1−λ2	2	0
2	−λ2+1	0
2	2	−λ2−1