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What is the greatest number of intersections that can occur between four lines?
7
What is the greatest number of intersection points possible with just 5 lines?
10. Each additional line can only intersect each of the previous lines once, so for two lines, there can be only 1 intersection, for three there can be up to 3 intersections (1+2), for four there can be up to 6 intersections (3+3), and for five there can be up to 10 (6+4). This trend continues as you increase the number of lines: 6 lines: 15 possible intersections (10+5) 7 lines: 21 possible intersections (15+6) 8 lines: 28 possible intersections (21+7) and so on...
How many intersects are there for 4 lines?
Maximum 12 intersections are there! You can simply use the formula: No. of intersections = n(n-1)/2 [where 'n' is the number of lines] This is derived as each new line can intersect (at most) all the previously drawn lines. There if there is: 1 line => 0 intersections 2 lines => 1 intersection 3 lines => 3 intersections [1 that was there + 2 by the new line can intersect both the previous lines.] 4 lines => 6 intersections [3 that were already there + 3 because the new line can intersect all the 3 lines that were present previously.]
Can four lines have seven intersection points?
No. In plane geometry, two lines can intersect at at most one point. This means that for n points, the maximum number of intersections is limited by the number of pairs of lines. For lines a,b,c,d, there are six pairs: (a,b), (a,c), (a,d), (b,c), (b,d), (c,d). So four lines can have at most six intersections.
How do you find the maximum number of intersections between a given number of lines?
Use the formula (n2 - n)/2 where n is the given number of lines. That gives: (12 - 1)/2 = 0 for one line, (22 - 2)/2 = 1 for two lines, (32 - 3)/2 = 3 for three lines, (42 - 4)/2 = 6 for four lines, (52 - 5)/2 = 10 for five lines, and so on.
What is the greatest number of intersections that can occur between four lines?
7
What is the greatest number of intersection points possible with just 5 lines?
10. Each additional line can only intersect each of the previous lines once, so for two lines, there can be only 1 intersection, for three there can be up to 3 intersections (1+2), for four there can be up to 6 intersections (3+3), and for five there can be up to 10 (6+4). This trend continues as you increase the number of lines: 6 lines: 15 possible intersections (10+5) 7 lines: 21 possible intersections (15+6) 8 lines: 28 possible intersections (21+7) and so on...
What is the greatest possible number of points of intersection for eight distinct lines in a plane?
Greatest possible number of intersections for following lines:1(line(s)) = 0 (intersections)2= 13= 1+24= 1+2+35= 1+2+3+4....8=1+2+3+4+5+6+7= 28Every time you add a line, you are able to create 1 more maximum intersection than the previous state. You can add up until 'number of lines - (minus) 1'.
How many intersects are there for 4 lines?
Maximum 12 intersections are there! You can simply use the formula: No. of intersections = n(n-1)/2 [where 'n' is the number of lines] This is derived as each new line can intersect (at most) all the previously drawn lines. There if there is: 1 line => 0 intersections 2 lines => 1 intersection 3 lines => 3 intersections [1 that was there + 2 by the new line can intersect both the previous lines.] 4 lines => 6 intersections [3 that were already there + 3 because the new line can intersect all the 3 lines that were present previously.]
What is the maximum number of possible intersections of the given loci of a circle and a pair of parallel lines?
4
What is preformed by intersecting lines?
Intersecting lines perform intersections.
Can four lines have seven intersection points?
No. In plane geometry, two lines can intersect at at most one point. This means that for n points, the maximum number of intersections is limited by the number of pairs of lines. For lines a,b,c,d, there are six pairs: (a,b), (a,c), (a,d), (b,c), (b,d), (c,d). So four lines can have at most six intersections.
If there are six straight lines and none are parallel to any other what is the maximum number of intersections there could be?
There can be a maximum of 15 intersections. With two non-parallel lines, there will be one intersection, a third (non-parallel) line can be drawn to cut the other two, and that makes 2 more intersections for a total of 3. You can actually draw this out, and with a fourth, fifth and sixth line, you will create a maximum of 3, 4 and 5 more intersections (respectively), and this will bring your total to fifteentotal intersections for the six lines. You can get each successive line to cut all of the other existing lines if you draw them in a prejudicial (maximized) way.
How do you find the maximum number of intersections between a given number of lines?
Use the formula (n2 - n)/2 where n is the given number of lines. That gives: (12 - 1)/2 = 0 for one line, (22 - 2)/2 = 1 for two lines, (32 - 3)/2 = 3 for three lines, (42 - 4)/2 = 6 for four lines, (52 - 5)/2 = 10 for five lines, and so on.
What is the greatest number of intersection points that four co planar lines can have?
The greatest number is six.
What is the greatest number of intersection points possible with just 4 lines?
The greatest number of intersection points with just four lines is 6.
Which shape has the greatest number of lines of symmerty?
A sphere.
