Answer :

(i) The plot of the given points is as shown in below graph:


For (1,1) move 1 unit in x direction and 1 unit in y direction.


For (2,2) move 2 unit in x direction and 2 unit in y direction.


For (3,3) move 3 unit in x direction and 3 unit in y direction.



From the graph it can be seen that the three points are on same line hence they are collinear in nature.


(ii) Let’s take three points (1,4), (2,4) and (1,3).


For (1,4) move 1 unit in x direction and 4 unit in y direction.


For (2,4) move 2 unit in x direction and 4 unit in y direction.


For (1,3) move 1 unit in x direction and 3 unit in y direction.


By putting three non collinear points on the graph will be as shown in below figure



So from graph it can be seen that the three points D, E and F are not on same line, and hence are non collinear points in nature.


(iii) Let’s take three points (0,2), (1,3) and (2,4).


For (0,2) move 2 unit in y direction, this point will be on y-axis.


For (1,3) move 1 unit in x direction and 3 unit in y direction.


For (2,4) move 2 unit in x direction and 4 unit in y direction.


By putting three more collinear points on the graph will be as shown in below figure



So the points D(0,2), E(1,3) and F(2,4) are on same line so they are collinear points other than the given points.


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