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3D Geometry question

2013 · Shift 1 · Q28
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  5. /2013 · Shift 1 · Q28

3D Geometry question

2013 · Shift 1 · Q28

JEE AdvancedMathematics3D GeometryMCQ+3 / −1
Perpendiculars are drawn from points on the line x+22=y+1−1=z3\frac{x+2}{2}=\frac{y+1}{-1}=\frac{z}{3}2x+2​=−1y+1​=3z​ to the plane x+y+z=3x+y+z=3x+y+z=3. The foot of perpendiculars lie on the line
  1. A
    x5=y−18=z−2−13\frac{x}{5}=\frac{y-1}{8}=\frac{z-2}{-13}5x​=8y−1​=−13z−2​
  2. B
    x2=y−13=z−2−5\frac{x}{2}=\frac{y-1}{3}=\frac{z-2}{-5}2x​=3y−1​=−5z−2​
  3. C
    x4=y−13=z−2−7\frac{x}{4}=\frac{y-1}{3}=\frac{z-2}{-7}4x​=3y−1​=−7z−2​
  4. D
    x2=y−1−7=z−25\frac{x}{2}=\frac{y-1}{-7}=\frac{z-2}{5}2x​=−7y−1​=5z−2​
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