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📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

The point equidistant from the three coordinate axes among the following is:

Answer: (1, 1, 1).

  • A (0, 1, 2)
  • B (2, 2, 0)
  • C (1, 1, 1)
  • D (1, 2, 3)

Correct answer: C. (1, 1, 1)

Explanation: For (1,1,1) the distance from each axis is √2 by symmetry; the other points give unequal distances.

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 →