If the straight lines x-1 k = y-2 2 = z-3 3 and x-2 3 = y-3 k = z-1 2 intersect at a point

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

Problem

If the straight lines x−1k=y−22=z−33 and x−23=y−3k=z−12\frac{x-1}{k} = \frac{y-2}{2} = \frac{z-3}{3} \text{ and } \frac{x-2}{3} = \frac{y-3}{k} = \frac{z-1}{2} intersect at a point, then the integer kk is equal to [AIEEE 2008] (1) −2-2 (2) −5-5 (3) 55 (4) 22

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