find the path of a moving point such its distance is from two lines 3x-2y=5and 3x+2y=5 are equal and state the name of path.

Answer 1

if the distance from two lines is equal, it must move along the angle bisector between the two lines.

There are two such paths; one is vertical and one is horizontal.

The paths are thus

x = 5/3
y = 0