Let L₁: (x-1)/1 = (y-2)/(-1) = (z-1)/2 and L₂: (x-1)/1 = (y-2)/2… | JEE Main 2025 Mathematics PYQ

NVAMediumJEE Main 2025 · 29 January, Shift 1Equation of Line in 3D

Let $L_1 : \frac{x-1}{1} = \frac{y-2}{-1} = \frac{z-1}{2}$ and $L_2 : \frac{x-1}{1} = \frac{y-2}{2} = \frac{z}{1}$ 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:

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