📐 Mathematics · Three Dimensional Geometry · JEE

The plane through (1,0,0), (0,1,0) and (0,0,2) has equation:

Answer: 2x+2y+z=2.

Correct answer: D. 2x+2y+z=2

Explanation: Intercept form: x/1 + y/1 + z/2 = 1. Multiply through by 2: 2x + 2y + z = 2.

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