Zaymiey

📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

If P(2, 3, 4) and Q(4, 5, 6), the point dividing PQ in ratio 3 : 1 internally is:

Answer: (7/2, 9/2, 11/2).

  • A (5/2, 7/2, 9/2)
  • B (3, 4, 5)
  • C (10/3, 13/3, 16/3)
  • D (7/2, 9/2, 11/2)

Correct answer: D. (7/2, 9/2, 11/2)

Explanation: x = (3·4 + 1·2)/4 = 14/4 = 7/2, and similarly y = 18/4 = 9/2, z = 22/4 = 11/2.

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

Read the full Introduction to Three Dimensional Geometry notes →