Zaymiey

📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

If the distance between (2, 3, a) and (2, 3, 1) is 5 units, then a can be:

Answer: 6 or −4.

  • A 6 only
  • B 6 or −4
  • C 4 or −6
  • D 5 or −5

Correct answer: B. 6 or −4

Explanation: Only z differs, so |a − 1| = 5, giving a − 1 = ±5 and hence a = 6 or a = −4.

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 →