I have a question here that says: A straight line cannot cut a circle at more than two points.
Obviously a straight line cannot cut at more than two points, because it can only:
i) not hit the circle at all
ii)be a tangent to the circle (only hit at once point)
iii)or go right through the circle and intersect at two points.
I assume this question is to be solved using a contradiction but I can not figure out how to write our a proof for this one.
Any help would be greatly appreciated. Thanks a lot.