Question
Question: 6 points in a plane are joined in all possible ways by indefinite straight lines and no two of them ...
6 points in a plane are joined in all possible ways by indefinite straight lines and no two of them are coincident or parallel and no 3 pass through the same point except the original 6 points. The no. of new points of intersection.
A
45
B
105
C
60
D
165
Answer
45
Explanation
Solution
No. of lines = 6C2 = 15.
Sol. Total no. of points = 15C2.
Subtracting previous points, no. of new points 15C2 - 6.5C2