(0, 0), (2, 2), (5, 5). Plot the following points and check whether they are collinear or not

Solution:

Given, the points are (0, 0), (2, 2) and (5, 5)

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

Let the point (0, 0) be O

The point O is the point of intersection of both the axes.

Let the point (2, 2) be A

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

The point A lies in the first quadrant.

Let the point (5, 5) be B

The perpendicular distance of the point R from the x-axis is 5 units and the y-axis is 5 units.

The point B lies in the first quadrant.

On plotting the points on the graph,

On joining the points O, A and B we observe that the points lie on the straight line.

Therefore, the points are collinear.

✦ Try This: Plot the following points and check whether they are collinear or not : (0, 0), (2, 2), (4, 4)

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

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

(0, 0), (2, 2), (5, 5). Plot the following points and check whether they are collinear or not

Summary:

On plotting the points (0, 0) (2, 2) and (5, 5) we observe that the points lie on the straight line. This implies the given points are collinear

☛ Related Questions:

• 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 . . . .
• Without plotting the points indicate the quadrant in which they will lie, if abscissa is -5 and ordi . . . .