Let \lambda_1, \lambda_2 be the values of \lambda for which the points (\frac{5}{2}, 1, \lambda) and (-2,0,1) are at equal distance from the plane 2 {\x} +3 y-6 z+7=0. If \lambda_1>\lambda_2, then the distance of the point (\lambda_1-\lambda_2, \lambda_2, \lambda_1) from the line \frac{x-5}{1}=\frac{y-1}{2}=\frac{z+7}{2} is ________. [8-Apr-2023 shift 1]

JEE Mains 8-Apr-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 23 of 90

Marks: +1, -0

Let λ1,λ2 be the values of λ for which the points (‌

,1,λ) and (−2,0,1) are at equal distance from the plane 2x +3y−6z+7=0. If λ1>λ2, then the distance of the point (λ1−λ2,λ2,λ1) from the line ‌

x−5

=‌

y−1

=‌

z+7

is ________.

[8-Apr-2023 shift 1]

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