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2006-09-04 08:17:35 · 13 answers · asked by Anonymous in Science & Mathematics Mathematics

13 answers

One, two, or three are all possible. Two requires two of the lines to be parallel.

2006-09-04 08:19:16 · answer #1 · answered by Anonymous · 2 0

impossible if you are talking about straight lines. now you can have 1 intersect two lines by having 2 parallel and 1 right through both of them, or you can have all three intersect in one point, or you can form a triangle which will enable you to have 3 intersections but not between all the lines, however it's mathematically impossible to have ALL 3 lines intersect at 3 DIFFERENT points now in terms of parabolas, etc(anything but straight) ofcourse.

2006-09-04 08:20:43 · answer #2 · answered by absolutmex 2 · 0 0

In Euclidian geometry, you could have three different intersections: form a triangle with the three lines.

You could have 2 intersections by having 2 parallel lines crossed by the third.

2006-09-04 08:20:02 · answer #3 · answered by Jim S 5 · 0 0

Three lines intersect in somany ways

CASE 1: If the three lines are parallel they do not cut each other. And there is no common point on these lines.

CASE 2: IF there lines we say they are L 1, L2, L3
L1& L2 are parallel => L3 will cut L1,L2 at
L1 atA , L2 at B
CASE 3 IF L1 is not parallel to L2 &L3,and L2 is not
parallel to L3 then also two cases occur
CASE A: L1 and L 2 cut at A,
L2 and L3 cut at B,
L3 and L1 cut at C
A,B,C forms a triangle
CASE B: All three lines pass through the
same point.that is they are concurrent

2006-09-04 09:01:52 · answer #4 · answered by spnchennai 1 · 0 0

Yes, three lines can intersect at zero (all parallel), one (all intersect at one point), two (two parallel with one transversal), or three points (forming a triangle).

2006-09-04 08:38:43 · answer #5 · answered by menezes_dean 2 · 0 0

Three lines can all intersect at one point... all depends on how you draw them in relation to one another, and whether or not they are in the same plane. You need to provide more information.

2006-09-04 08:20:10 · answer #6 · answered by Anonymous · 0 0

Yep, one, two or three.

1 - they all meet at the same point.
2 - two are parallel, and one crosses them both.
3 - as in a triangle.

2006-09-04 08:20:22 · answer #7 · answered by Moxie1313 5 · 0 0

An infinite number of lines can meet at two points on surface of a sphere...check your earth globe.

And I suspect an infinite number of lines can meet at infinite points on surface of a toroid (donut).

2006-09-04 08:28:21 · answer #8 · answered by L. A. L. 6 · 0 0

if they are straight lines, the only way for this would be if they were exactly the same. in this case they intersect at infinite points

2006-09-04 08:19:35 · answer #9 · answered by cehilo 3 · 0 1

Draw a triangle . Class dismissed

2016-03-17 07:47:54 · answer #10 · answered by Anonymous · 0 0

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