How many points in a plane are in the locus of all points equidistant from two parallel lines in the plane?

Question

a) 0

b) 1

c) 2

d) infinity many

which one?????????????????

Answer 1

Draw a picture of two parallel lines.  Now find all the points that are the same distance from both of those lines.  How many points do you have?

You don't need graph paper, and if you draw it the answer will be obvious.  I will not do your homework for you, but I was trying to get you to visualize it so you can answer it yourself.