Tangent to the curve.
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Two straight lines that don't touch or intersect no matter how far they are extended
Lines that intersect at right angles.
Not necessarily, as two lines can exist in one plane, but they don't always touch each other. An example would be parallel lines, where the lines are parallel to each other. Lines are also not necessarily straight all the time as it can be curvy too, wherein that a straight line or another curvy line that "does" touch the first curvy line could possibly intersect at more than one point.
They can touch but they can also be in a form that shows that if the line continues it will intersect. Hope this helps you:)
Contours can intersect if you have an overhang. If there is a vertical drop, the contours will touch but not cross one another.