Let the shortest distance between the lines L: (x-5)/(-2)=(y-λ)/0=(z+λ)/1, λ ≥ 0 and L₁: x+1=y-1=4-z be 2 √(6). If (α, β, γ) lies on L, then which of the following is NOT possible?

Three Dimensional Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 31 Jan, Morning shift · Q2509

JEE Main 202331 Jan, Morning shiftMathematicsMediumThree Dimensional Geometry249× since 2002

Let the shortest distance between the lines

L: \frac{x-5}{-2}=\frac{y-\lambda}{0}=\frac{z+\lambda}{1}, \lambda \geq 0

and

L_{1}: x+1=y-1=4-z

2 \sqrt{6}

. If

(\alpha, \beta, \gamma)

lies on

L

, then which of the following is NOT possible?