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📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

If A(3, 2, 0), B(5, 3, 2) and C(−9, 6, −3) are the vertices of a triangle, the midpoint of BC is:

Answer: (−2, 9/2, −1/2).

  • A (7, 9/2, 1)
  • B (−2, 9/2, −1/2)
  • C (−2, 9, −1)
  • D (−4, 9/2, −1/2)

Correct answer: B. (−2, 9/2, −1/2)

Explanation: Average B and C: ((5−9)/2, (3+6)/2, (2−3)/2) = (−2, 9/2, −1/2).

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 →