Collinear Points

1. What is the Meaning of Collinear Points?

When three or more points lie on the same straight line or in a linear way, they are known as collinear points.

2. Can we Draw a Straight Line by using Four Collinear Points?

Yes, we can draw a straight line by using four collinear points as all the collinear points lie on the same line.

3. What is the Meaning of Non-Collinear Points?

Non-collinear points are set of points, when we positioned all on a plane, does not show single straight line are called non-collinear points.

4. How many Methods can we Use to Calculate the Collinear Points?

There are three most often used methods to find out that three points are collinear or not

• Distance Method
• Slope Method
• Area of Triangle Method

5. Do Collinear Points have to be Equal?

Yes, by definition, sets of point are collinear if they all positioned in a same straight line.

6. Which Method is Most Appropriate Method to Determine the Collinear Points?

Slope method is the most appropriate method to determine Collinear Points

7. What is the Slope Method to check Collinearity?

Slope method are used to determine that all the points are are collinear or not by using their coordinates.In simple words these three points are collinear if their all slopes are equal.

8. Can more than Three Points be Collinear?

Yes, any number of points can be collinear if they all lie on the same straight line.

9. How many Points are needed to determine a Line in a Plane?

There should me minimum two points and maximum more than two.

10. How can we Find the Slope of a Line?

If two points A(x₁ ,y₁) and B(x₂, y₂) are given with their coordinates in a plane, then its slope would be m = (y₂ -y₁ )/(x₂ -x₁ ).

11. Can we Show all the Collinear Points on a Line?

Yes, we can show all the collinear points on a line because it is the definition of the collinear points.

Collinear Points are sets of three or more than three points that lie in a straight line. In simple words, if three or more points are collinear, they can be connected with a straight line without any change in slope.

In this article, we will discuss the concept of collinear points, collinear point definition, collinear point meaning, and properties. We will also know how to determine the three points collinearity by different methods. Further, we will also solve various examples and provide practice questions for a better understanding of the concept of this article.