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📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

The number of points in space whose each coordinate is either 1 or −1 is:

Answer: 8.

  • A 6
  • B 4
  • C 3
  • D 8

Correct answer: D. 8

Explanation: Each of the three coordinates has 2 choices independently, giving 2³ = 8 points - one per octant.

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 →