imo class 12 three dimensional geometry

If a line makes angles 90°, 60° and 30° with the positive direction of x, y and z-axes respectively, find its direction cosines.

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If a line makes angles 90°, 60° and 30° with the positive direction of x, y and z-axes respectively, find its direction cosines.

  • A. 0, 1/2, √3/2
  • B. 0, √3/2, 1/2
  • C. 1, 1/2, √3/2
  • D. 0, 1/2, 1/2

Answer: A) 0, 1/2, √3/2

Explanation: Direction cosines are l = cos 90° = 0, m = cos 60° = 1/2, n = cos 30° = √3/2.

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