Equation of line in the plane P : 2x – y + z – 4 = 0 which is perpendicular to the line l…

Mathematics · JEE Advanced · NTA ExamsThree Dimensional Geometry

Equation of line in the plane P : 2x – y + z – 4 = 0 which is perpendicular to the line l whose equation is \(\frac{x-2}{1}=\frac{y-2}{-1}=\frac{z-3}{-2}\) and which passes through the point of intersection of l and P is
  1. \(\frac{x-2}{3}=\frac{y-1}{5}=\frac{z-1}{-1}\)
  2. \(\frac{x-1}{3}=\frac{y-3}{5}=\frac{z-5}{-1}\)
  3. \(\frac{x+2}{2}=\frac{y+1}{-1}=\frac{z+1}{1}\)
  4. \(\frac{x-2}{2}=\frac{y-1}{-1}=\frac{z-1}{1}\)

Answer

(B) x-1 3 = y-3 5 = z-5 -1

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