Let a line passing through the point (4,1,0) intersect the line L_1: \frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4} at the point A(\alpha, \beta, \gamma) and the line L_2: x-6=y=-z+4 at the point B(a, b, c). Then \left|\begin{array}{ccc}1 & 0 & 1 \ \alpha & \beta & \gamma \ a & b & c|\end{array} is equal to [3 Apr 2025 Shift 1]

JEE Main 3 Apr 2025 Shift 1 Paper

Section: Mathematics

Question : 3 of 75

Marks: +1, -0

Let a line passing through the point (4,1,0) intersect the line L1:‌

x−1

=‌

y−2

=‌

z−3

at the point A(α,β,γ) and the line L2:x−6=y=−z+4 at the point B(a,b,c). Then |

| is equal to

[3 Apr 2025 Shift 1]

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