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you can always draw two parallel lines and see that….

if you want a theoretical proof, try to solve the equations of two lines which are parallel to each other- you can’t! so we can say the parallel lines cannot meet at a real point…

young boy. you are some what right,but my dear parallel lines meet at infinity

Neharika mam you are absolutely right Another definition of parallel line that’s often used is that two lines are parallel if they do not intersect, though this definition applies only in the 2-dimensional plane. Another easy way is to remember that a parallel line is a line that has an equal distance with the opposite line.

you are right tiny The lines that do not intersect or meet are called parallel lines. For example—opposite edges of a ruler, rail lines etc.

i have no words to say because all of you are great . i thank to Nilesh for this topic go as you are going

If you are talking about ordinary lines and ordinary geometry, then parallel lines do not meet. Now the basic plane doesn’t have a point called “infinity”, it only consists of points describable by pairs of coordinates ( x ,y ).

For example, the line x = 1 and the line x = 2 do not meet at any point, since the x coordinate of a point cannot be both 1 and 2 at the same time

Two lines moving in the same direction on a plane will never meet at a finite set of coordinates

I can think of two things that might be confusing this issue. The first has to do with perspective drawing. In perspective drawing (imagine standing on straight railroad tracks that are going off into the distance), parallel lines appear to intersect.

The other thing that you may be thinking about is that in some non-Euclidean geometry, parallel lines are not the same distance apart the whole time .

I AM SATISFIED WITH ALL OF YOU

Topic of discussion: WHY PARALLEL LINES NOT INTERSECT EACH OTHER. If i am correct two lines intersects if atleast having a common co-ordinate. Now think about lines who are having infinite no. of common co-ordinates i.e lines overlapping each other. So at this moment i have: (1)two lines which are parallel and (2)common co-ordinates So,now i am in a position to say “parallel lines do intersects”.Thanks all !

two lines do not intersect .the reason the distance between any opposite points is uniform as long as they travel.so when the distance is same the two lines never intersects.as the distance between two opposite points keep decreasing the lines intersect.