imo class 12 three dimensional geometry

The length of perpendicular from origin to the plane r · (2i − 3j + 6k) + 14 = 0 is:

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The length of perpendicular from origin to the plane r · (2i − 3j + 6k) + 14 = 0 is:

  • A. 2 units
  • B. 14 units
  • C. 7 units
  • D. 0 units

Answer: A) 2 units

Explanation: Equation is 2x − 3y + 6z + 14 = 0. Distance from origin = |14| / √(2² + (−3)² + 6²) = 14 / √(4+9+36) = 14 / 7 = 2 units.

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