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📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

The points A(1, 2, 3), B(2, 3, 4) and C(3, 4, 5) are:

Answer: Collinear.

  • A Vertices of an equilateral triangle
  • B Vertices of a right triangle
  • C Coincident
  • D Collinear

Correct answer: D. Collinear

Explanation: AB = BC = √3 and AC = 2√3, so AB + BC = AC - the points lie on a straight line.

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 →