Find the locus of a point which moves such that its distance from the line y = 4 is a constant, k.

  • A y = 4 \(\pm\) k
  • B y = k \(\pm\) 4
  • C y = 4 + k
  • D y = k - 4
jamb 2001mathematics

The correct answer is A. y = 4 \(\pm\) k

The locus of a point which moves such that its distance from the line y = 4 is a constant, k, is given by the equation \(y = 4 \pm k\).

This represents two horizontal lines parallel to the line

y= 4, one at a distance of k above it and the other at a distance of k below it.

Previous question Next question