The coordinates of a point on the line at a distance from the point are

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

Problem

The coordinates of a point on the line x−12=y+1−3=z\frac{x-1}{2} = \frac{y+1}{-3} = z at a distance 4144\sqrt{14} from the point (1,−1,0)(1, -1, 0) are (1) (9,−13,4)(9, -13, 4) (2) (814+1,−1214−1,414)(8\sqrt{14} + 1, -12\sqrt{14} - 1, 4\sqrt{14}) (3) (−7,11,−4)(-7, 11, -4) (4) (−814+1,1214−1,−414)(-8\sqrt{14} + 1, 12\sqrt{14} - 1, -4\sqrt{14})

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