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📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

If A(1, 2, 3) and the midpoint of AB is (2, 3, 4), then the coordinates of B are:

Answer: (3, 4, 5).

  • A (3, 4, 5)
  • B (1, 1, 1)
  • C (4, 6, 8)
  • D (3/2, 5/2, 7/2)

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

Explanation: From (1 + x)/2 = 2 we get x = 3, and similarly y = 4 and z = 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

Read the full Introduction to Three Dimensional Geometry notes →