imo class 12 three dimensional geometry

The angle between line x=y=z and the plane x+y+z=1 is:

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The angle between line x=y=z and the plane x+y+z=1 is:

  • A. sin⁻¹(1/√3)
  • B. sin⁻¹(1)
  • C.
  • D. 90°

Answer: D) 90°

Explanation: Line DRs: 1, 1, 1. Plane Normal DRs: 1, 1, 1. Since the line direction is proportional to the normal, it is perpendicular to the plane, so angle is 90°.

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