Question

plot the following points (1,3), (-1,-1), (-2,-3) and check the given points are collinear or not.

Answer 1

Let A(1,3) B(-1,-1) and C(-2,-3) There are two methods to check whether these are collinear or not First method: Plotting these points on a graph Second method:  First find length of AB and then BC by using distance formula then find the length of AC if AB + BC equal to AC then these points are collinear Distance formula is AB=√(x1-x2)+(y1-y2) where x1 x2 are the x coordinates and y1 and y2 are y coordinates

Answer 2

Answer:

(i) Plotting the points P (1, 3), Q (-1, -1) and R (-2, – 3) on the graph paper and join these points, we get a straight line. Hence, these points are collinear.

(ii) Plotting the points P (1,1), 0 (2, – 3) and R (-1, -2) on the graph paper and join these three points, we get three lines i.e., the given points do not lie on the same line. So, given points are not collinear.

(iii) Plotting the points 0 (0, 0), A (2,2)and 6 (5, 5)on the graph paper and join these points, we get a straight line. Hence, given points are collinear.