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📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

For a point dividing a segment externally, the denominator in the section formula is:

Answer: m − n, which is why m = n gives no valid point.

  • A m − n, which is why m = n gives no valid point
  • B m + n, exactly as in internal division
  • C Always 2, independent of the ratio chosen
  • D mn, the product of the two ratio terms

Correct answer: A. m − n, which is why m = n gives no valid point

Explanation: External division replaces n with −n, giving denominators m − n; when m = n this vanishes, matching the fact that the dividing point recedes to infinity.

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

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