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📐 Mathematics  ·  Three Dimensional Geometry  ·  JEE

The foot of the perpendicular from the origin to the plane 2x + 3y + 6z = 49 is:

Answer: (2, 3, 6).

  • A (2, 3, 6)
  • B (1, 1.5, 3)
  • C (4, 6, 12)
  • D (2, 3, 7)

Correct answer: A. (2, 3, 6)

Explanation: The foot is 49·(2,3,6)/(2²+3²+6²) = 49·(2,3,6)/49 = (2, 3, 6).

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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