The image of the line in the plane is the line

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry

Problem

The image of the line x−13=y−31=z−4−5\frac{x-1}{3}=\frac{y-3}{1}=\frac{z-4}{-5} in the plane 2x−y+z+3=02x-y+z+3=0 is the line (1) x+33=y−51=z−2−5\frac{x+3}{3}=\frac{y-5}{1}=\frac{z-2}{-5} (2) x+3−3=y−5−1=z+25\frac{x+3}{-3}=\frac{y-5}{-1}=\frac{z+2}{5} (3) x−33=y+51=z−2−5\frac{x-3}{3}=\frac{y+5}{1}=\frac{z-2}{-5} (4) x−3−3=y+5−1=z−25\frac{x-3}{-3}=\frac{y+5}{-1}=\frac{z-2}{5}

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