imo class 12 three dimensional geometry

Points A(2, 3, 4), B(−1, 2, −3) and C(−4, 1, −10) are collinear. The ratio in which B divides AC is:

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Points A(2, 3, 4), B(−1, 2, −3) and C(−4, 1, −10) are collinear. The ratio in which B divides AC is:

  • A. 1:2
  • B. 1:1
  • C. 2:1
  • D. 3:2

Answer: B) 1:1

Explanation: AB DRs: −3, −1, −7. BC DRs: −3, −1, −7. Since DRs are equal and B is common, B is the midpoint, dividing AC in 1:1.

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