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📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

The section formula for internal division of PQ in ratio m : n gives the x-coordinate as:

Answer: (mx₂ + nx₁)/(m + n).

  • A (x₁ + x₂)/2
  • B (mx₂ + nx₁)/(m + n)
  • C (mx₂ − nx₁)/(m − n)
  • D (mx₁ + nx₂)/(m + n)

Correct answer: B. (mx₂ + nx₁)/(m + n)

Explanation: For internal division the far point is weighted by m and the near point by n, over the total m + n.

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 →