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 same as 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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