(1, 1), (2, -3), (-1, -2). Plot the following points and check whether they are collinear or not

Solution:

Given, the points are (1, 1), (2, -3) and (-1, -2)

We have to determine if the points are collinear or not.

Let the point (1, 1) be P

The perpendicular distance of the point P from the x-axis is 1 unit and y-axis is 1 unit.

The point P lies in the first quadrant.

Let the point (2, -3) be Q

The perpendicular distance of the point Q from the x-axis is 3 units and y-axis is 2 units.

The point Q lies in the fourth quadrant.

Let the point (-1, -2) be R

The perpendicular distance of the point R from the x-axis is 2 units and the y-axis is 1 unit.

The point R lies in the third quadrant.

On plotting the points on the graph,

On joining the points P, Q and R we observe that the points do not lie on the straight line.

Therefore, the points are not collinear.

✦ Try This: Plot the following points and check whether they are collinear or not : (2, 2), (3, -4), (- 2, - 3)

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 3

NCERT Exemplar Class 9 Maths Exercise 3.3 Problem 4(ii)

(1, 1), (2, -3), (-1, -2). Plot the following points and check whether they are collinear or not

Summary:

On plotting the points (1, 1) (2, -3) and (-1, -2) we observe that the points do not lie on the straight line. This implies the given points are not collinear

☛ Related Questions:

• (0, 0), (2, 2), (5, 5). Plot the following points and check whether they are collinear or not
• Without plotting the points indicate the quadrant in which they will lie, if ordinate is 5 and absci . . . .
• Without plotting the points indicate the quadrant in which they will lie, if abscissa is -5 and ordi . . . .