Question 4 Plot the following points and check whether they are collinear or not.
(i) (1, 3), (-1, -1), (-2, -3)
(ii) (1, 1), (2, -3), (-1, -2)
(iii) (0, 0), (2, 2), (5, 5)
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Solution
(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), Q(2,-3) and R(-1,-2) on the graph paper and join the thee 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 O(0, 0), A(2, 2) and B(5, 5) on the graph paper and join these points.We get a straight line,
Hence, given points are collinear