Some points are plotted on a plane. Each point joined with all remaining points by line segments. Find the number of points if the number of line segments are 10.
Answers
Answer:
The situation is 10 points are randomly plotted on a plane and no three ... the points in set B, i.e., every single point in set A forms 6 line segments
Answer:
27
Step-by-step explanation:
Total number of points = 10
Number of points that are not collinear = 3
Taking any 10 points in a plane - A, B ,C ,D ,E ,F ,G ,H ,I ,J.
Since, 4 of these points are joined to 6 of the remaining points, we will divide the 10 points into two groups containing 4 and 6 points.
Let the first group be A, B, C, D and the second group contains the remaining 6 points E F G H I J.Thus each point in first group is joined to each point in the second group.
Line segments formed - 6+6+6+6 =24. ( As A is joined to 6 points, B is joined to 6 points and so on)
Each point from the group of 6 is joined to 5 other points. Let these 6 points be already connected to 4 points in other group, then it is required to connect each point to 1 more point from the same group, hence dividing these group of six into 3 groups of 2 and each group of 2 forming one line segment.
Segments formed 24+3 = 27