📐 Mathematics · Three Dimensional Geometry · JEE

The line (x-1)/2 = (y+2)/3 = (z-1)/4 passes through the point:

Answer: (1,-2,1).

Correct answer: C. (1,-2,1)

Explanation: The symmetric form (x-x₁)/a = (y-y₁)/b = (z-z₁)/c passes through (x₁,y₁,z₁). Here the line passes through (1, -2, 1).

Three mutually perpendicular axes x, y, z meeting at the origin O, with a point P located by its (x, y, z) coordinates.

Concept context

Lines and planes in 3D space, direction cosines, distances, and angles