Question

The locus of point which is equidistant from 2 non parallel lines is ___________

(a) a straight line bisecting the angle between them

(b) a line which cuts both lines at same distances from point of intersection of given lines

(c) a closed curve around them

(d) a line perpendicular to the 1st line

I have been asked this question in my homework.

This question is from Loci of Points by Different Methods in chapter Loci of Points & Orthographic Projections of Engineering Drawing

Answer 1

The correct answer is (a) a straight line bisecting the angle between them

To elaborate: The line obtained is the angular bisector of the two lines given so carries points which are equidistant from the both the lines, if the lines are perpendicular to each other the line makes 45 degrees with both the line, if the lines are parallel then locus would be parallel line to both and will in between them making same distance from both the lines.