Given an input file with an arbitrary set of co-ordinates, your task is to use pyspark library functions and to write a program in python3 to find if three or more points are collinear.

For instance, if given these points: {(1,1), (0,1), (2,2), (3,3), (0,5), (3,4), (5,6), (0,-3), (-2,-2)}

Sets of collinear points are: {((-2,-2), (1,1), (2,2), (3,3)), ((0,1), (3,4), (5,6)), ((0,-3), (0,1), (0,5))}. Note that the ordering of the points in a set or the order of the sets does not matter.