For the line

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

For the line x−11=y−22=z−33\frac{x-1}{1}=\frac{y-2}{2}=\frac{z-3}{3}, which one of the following is incorrect? (1) It lies in the plane x−2y+z=0x-2y+z=0. (2) It is the same as the line x1=y2=z3\frac{x}{1}=\frac{y}{2}=\frac{z}{3}. (3) It passes through (2,3,5)(2,3,5). (4) It is parallel to the plane x−2y+z−6=0x-2y+z-6=0.

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