Question

The locus of a point P such that its distance from a fixed line AB is constant is____________

(a) a circle with AB as a largest chord (diameter)

(b) a line perpendicular to AB passing through the midpoint of AB

(c) a line parallel to AB

(d) a line perpendicular to AB cutting AB at centre

I have been asked this question by my college director while I was bunking the class.

My question comes from Loci of Points by Different Methods in portion Loci of Points & Orthographic Projections of Engineering Drawing

Answer 1

Correct option is (c) a line parallel to AB

For explanation I would say: There is no other chance of locating point P whose distance from a fixed line is constant other than a line parallel to given line and passing through point P and this help in drawing parallel lines.