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📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

The point dividing the segment from (1, 2, 3) to (4, 5, 6) in the ratio 2:1 internally is:

Answer: (3, 4, 5).

  • A (3, 4, 5)
  • B (2, 3, 4)
  • C (5, 6, 7)
  • D (3, 3, 4)

Correct answer: A. (3, 4, 5)

Explanation: Using the section formula: ((2·4 + 1)/3, (2·5 + 2)/3, (2·6 + 3)/3) = (3, 4, 5).

zxyOP(x, y, z)first octant:x>0, y>0, z>0

Concept context

Coordinate axes and planes in space, octants, distance between two points, and the section formula

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