Question

prove that 2 distinct lines cannot have more than 1 point common

Answer 1

Firstly to proof this statement we consider that the two lines l and m intersect in two distinct points R and S.
As we assume this, this will clash with axiom that two given distinct points, only unique line cab be passed through them.
Hence our assumption is wrong, so correct statement is that Two distinct lines cannot have more than one point in common.
hope it's helps !!!
pls give it brainliest

Answer 2

two distinct line cannot have more than one common point
given : two distinct line l and m
to prove : l and m contain at most one one common point
proof : if possible let p and q be two points common to l and m then l contains both the point p and q and m contains both the point p and q but but there is one and only one line passing through two distinct points
so l = m
this contradicts the hypothesis that l and m are distinct
thus our supposition is wrong
hence two distinct line cannot have more than one common point