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 [29 Jan 2025 Shift 1]

JEE Main 29 Jan 2025 Shift 1 Paper

Section: Mathematics

Question : 12 of 75

Marks: +1, -0

Let L1:‌

x−1

=‌

y−2

−1

=‌

z−1

and L2:‌

x+1

−1

=‌

y−2

=‌

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

[29 Jan 2025 Shift 1]

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