(1, 3), (- 1, - 1), (- 2, - 3). Plot the points and check whether they are collinear or not
Solution:
Given, the points are (1, 3), (-1, -1) and (-2, -3)
We have to determine if the points are collinear or not.
Let the point (1, 3) be P
The perpendicular distance of the point P from the x-axis is 3 units and y-axis is 1 unit.
The point P lies in the first quadrant.
Let the point (-1, -1) be Q
The perpendicular distance of the point Q from the x-axis is 1 unit and y-axis is 1 unit.
The point Q lies in the third quadrant.
Let the point (-2, -3) be R
The perpendicular distance of the point R from the x-axis is 3 units and the y-axis is 2 units.
The point R lies in the third quadrant.
On plotting the points on the graph,
On joining the points P, Q and R we get a straight line.
Therefore, the points are collinear.
✦ Try This: Plot the following points and check whether they are collinear or not : (1, 2), (- 2, - 2), (- 3, - 4)
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 3
NCERT Exemplar Class 9 Maths Exercise 3.3 Problem 4(i)
(1, 3), (- 1, - 1), (- 2, - 3). Plot the points and check whether they are collinear or not
Summary:
On plotting the points (1, 3) (-1, -1) and (-2, -3) and joining them we observe that all the given points lie on a straight line. This implies the given points are collinear
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