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📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

The point on the x-axis equidistant from (1, 2, 3) and (3, 2, −1) is:

Answer: (0, 0, 0).

  • A (0, 0, 0)
  • B (1, 0, 0)
  • C (2, 0, 0)
  • D (−1, 0, 0)

Correct answer: A. (0, 0, 0)

Explanation: Setting the squared distances equal for (x, 0, 0) gives x = 0, so the point is the origin.

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 →