Zaymiey

📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

When solving the section formula for an unknown ratio, obtaining a negative value of k means that the point:

Answer: Divides the segment externally rather than internally.

  • A Lies at the origin of the coordinate system
  • B Divides the segment externally rather than internally
  • C Does not lie on the line through the two given points
  • D Coincides with the midpoint of the segment

Correct answer: B. Divides the segment externally rather than internally

Explanation: Internal division requires a positive ratio; a negative solution corresponds to external division, with the point lying on the extension of the segment.

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 →