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📐 Mathematics  ·  Three Dimensional Geometry  ·  JEE

The line through (1,2,3) perpendicular to plane 2x-y+3z=5 has direction ratios:

Answer: (2,-1,3).

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

Correct answer: C. (2,-1,3)

Explanation: A line perpendicular to plane ax+by+cz=d has direction ratios (a,b,c). So direction ratios are (2,-1,3).

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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