In a plane, there are straight lines of which pass through point and passes through point . Besides no three lines pass through one point, no line passes through both points and and no two are parallel. Then the number of intersection points the lines have is equal to?
Explanation for the correct option:
Finding the number of points of intersection:
The point of intersection of lines .
However, it is given that passes through point , so they will have only one intersection point instead of and the lines that passes through point will also have only one intersection point instead of .
There will be two more intersection points, that are and .
So, total number of intersection points the lines have is
Hence, option A is correct.