Let L₁: (x-1)/1 = (y-2)/1 = (z-1)/2 and L₂: (x+1)/1 = (y-2)/2 = z/4 be two lines. Let L₃ be a line passing through the point (α, β, γ) and be perpendicular to both L₁ and L₂. If L₃ intersects L₁, then |5α - 11β - 8γ| equals:

Three Dimensional Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q113

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumThree Dimensional Geometry249× since 2002

Let

\mathbf{L}_1: \frac{x-1}{1} = \frac{y-2}{1} = \frac{z-1}{2}

and

\mathbf{L}_2: \frac{x+1}{1} = \frac{y-2}{2} = \frac{z}{4}

be two lines. Let

L_3

be a line passing through the point

(\alpha, \beta, \gamma)

and be perpendicular to both

L_1

and

L_2

. If

L_3

intersects

L_1

, then

|5\alpha - 11\beta - 8\gamma|

equals:

JEE Main 2025 Three Dimensional Geometry Question with Solution (January Unspecified (session-level dataset), Q113) | JEE Arc