Question:medium

A line of fixed length a + b, moves so that its ends are always on two fixed perpendicular straight lines. The locus of a point which divides the line into two parts of length a and b is

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When a line segment divides into parts along fixed lines, the locus of such a point is typically an ellipse due to the constant sum of distances to the two fixed points (foci).
Updated On: Nov 28, 2025
  • A parabol
  • A circle
  • An ellips
  • A hyperbol