I apologize for being ambiguous. Let me elaborate.
When I used the 'Generate Near Table' tool, I specified certain search distance and unchecked the 'Find closest feature only' option. So in the output table, I get the list of all points located within the search distance from each line, along with their ranks. For example if there are 10 points within a distance of 100 feet from a line (Whose FID is say, 15). I get 10 new rows (all related to this line with FID 15), in each row is the rank for every one of those 10 points.
Perhaps, this picture will explain what I am trying to say more effectively, This is how it is supposed to work right?
However, I only need the count of those points, not the ranks and the extra rows they bring along. I need a simplified table which says a line with so-and-so FID has these many number of points located within a distance of 100 feet from it. Now, how can I get something like this? The table I posted along with my question is meant to serve as an example of what I am trying to obtain, I made it in excel, it is no product of ArcMap.