Let the line L pass through (1, 1, 1) and intersect the lines (x - 1)/2 = (y + 1)/3 = (z - 1)/4 and (x - 3)/1 = (y - 4)/2 = z/1. Then, which of the following points lies on the line L ?

Three Dimensional Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q193

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

Let the line

L

pass through

(1, 1, 1)

and intersect the lines

\frac{x - 1}{2} = \frac{y + 1}{3} = \frac{z - 1}{4} \quad \text{and} \quad \frac{x - 3}{1} = \frac{y - 4}{2} = \frac{z}{1}.

Then, which of the following points lies on the line

L