What is it called when 2 lines run next to each other touching but do not intersect . They just touch .
Coincident lines...
paraleel
parallel***
These lines actually sort of overlap each other. They are a junction of parallel and intersecting lines. They have infinite points of intersection but still have the same slope
asymptotes?
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If you meant that they touch at only one point, then they are called tangent as @UnkleRhaukus mentioned in his figure :) But if they are straight lines with more than one common points, they they are coincident lines
If you meant what @UnkleRhaukus mentioned in his figure, then use the word "curve" than "line" at which the tangent is drawn
You would have noticed that Unkle Rhaukus, too used the word Curve. Curve is not the same as a line. Line usually means a straight line :)
as @vishweshshrimali5 says in mathematics `a line` usually means a straight line, but i thought you could possibly have meant a `curved line`
Yup I agree with @UnkleRhaukus , perhaps you wanted to use some other word ?
Well appears that OP has left
Isn't a point of tangency still an intersection point?
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