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locus or focus?

I'm assuming you're talking about a locus of point, i.e if you move a point the shape formed.

yeah thats what i am talking about

sounds like topology

It's a mix of topology and geometry

yeah but i have a given and i need to ind the equation of it

What's the given?

line m
and then the condition is a set distance r from line m

i am doing it of 2 lines but that waht they give me

ok