Zaymiey

📐 Mathematics  ·  Three Dimensional Geometry  ·  JEE

The line (x-1)/2 = (y+2)/3 = (z-1)/4 passes through the point:

Answer: (1,-2,1).

  • A (2,3,4)
  • B (0,-2,1)
  • C (1,-2,1)
  • D (-1,2,-1)

Correct answer: C. (1,-2,1)

Explanation: The symmetric form (x-x<sub>1</sub>)/a = (y-y<sub>1</sub>)/b = (z-z<sub>1</sub>)/c passes through (x<sub>1</sub>,y<sub>1</sub>,z<sub>1</sub>). Here the line passes through (1, -2, 1).

zxyOP (x, y, z)

Three mutually perpendicular axes x, y, z meeting at the origin O, with a point P located by its (x, y, z) coordinates.

Concept context

Lines and planes in 3D space, direction cosines, distances, and angles

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