what's with the poll? you do math by majority opinion? one of the beautiful things about math is that it is objective. opinions don't matter!

obviously they can't have a common tangent, since the slopes are always different.

so reason through the others.

(a) do they have to intersect once?

consider and

(b) do they have to intersect more than once?

consider the same example above

(c) do they have to not intersect?

...come up with your own example of why or why not.

do the same for choice (d)

what do you come up with?