Question

can anyone tell, how two infinite parallel lines overlap each other ? ?

Answer 1

one is on top of another

Answer 2

I mean how they become one ... I have my theorem, according to which they become one if they are infinite parallel lines .

Answer 3

what do you mean "they become one"?
I doubt that is how the theorem is stated, what is the exact wording?

Answer 4

according to my theorem, if there are two parallel lines and if they are stretched up to infinity, then they would become one... there won't be 2 lines anymore, ....
I have concluded it from some sketches , diagrams

Answer 5

your theorem?
so according to your analysis
x + y =0
and
4x+4y=0
are the exact same thing?

Answer 6

yeah same thing ....
what you're trying to express ?? you didn't get my point ?

Answer 7

I get your point, but you need to be careful in math: there are caveats
x+y=0
and
2x+2y=0
are coinciding lines, but that does not make them technically the same line
they are what is called "linear dependent" on each other
hence, don't try to establish theorems without a strong understanding of the math you are working with
You should be very familiar with the mathematics of linear algebra if you are trying to develop a theorem of this sort