Q3 of 15 Page 180

(i) Let’s put the points (1,1), (2,2) and (3,3) on the graph paper and see whether they are collinear.

(ii) Let’s put three non collinear points on the graph paper.


(iii) Let’s put three more collinear points other than the above three collinear points on the graph paper and write their coordinates


(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.


More from this chapter

All 15 →
1


(i) For the graph paper beside we consider 1 unit=length of 2 sides of the smallest squares along both the axes. Let’s write the coordinates of the points.


(ii) Let’s find which three points are collinear.


(iii) Let’s find three points which are not collinear.


 2

Let’s plot the points representing the coordinates (1,0), (2,1), (3,3), (1,3), (2,5) and (0,0) on the graph paper.

 4

Let’s see the graph on the graph paper beside and let’s find the answers to the questions below:


(i) Let’s write the relation between the number of guava and the price of guava from the graph.


(ii) Let’s write the price of 4 guavas.


(iii) Let’s write the number of guavas in Rs 30 from the graph.


(iv) Let’s write the number of guavas in Rs. 9


(v) Let’s write the price of 9 guavas from the graph.


 5

Let’s see the graph of time and distance beside and find the answers to the questions given below.


(i) Let’s write the relation between time and distance.


(ii) Let’s write the distance covered in 3 hours.


(iii) Let’s write the time required to cover 120 km.


(iv) Let’s find the velocity in km per hour.


(v) Let’s find and write the distance covered in hours from the graph.


(vi) Let’s find and write the time to cover 45 km.