The distance of the point from the point of intersection of the line and the plane

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

Problem

The distance of the point (1,0,2)(1, 0, 2) from the point of intersection of the line x−23=y+14=z−212\frac{x-2}{3} = \frac{y+1}{4} = \frac{z-2}{12} and the plane x−y+z=16x - y + z = 16, is (1) 2142\sqrt{14} (2) 8 (3) 3213\sqrt{21} (4) 13

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