Collinear Points (A, B, C)

If points A, B, and C are collinear, it means that they lie on the same straight line. In this case, there will be only one line that can be formed by joining any two of these points.

Explanation:
When three points are collinear, they lie on the same line. Let's say these points are A, B, and C. Now, if we join points A and B, we get a line AB. Similarly, if we join points B and C, we get a line BC. Since all three points are collinear, points A, B, and C lie on the same line. Therefore, joining any two of these points will result in the same line. Hence, there is only one line that can be formed when A, B, and C are collinear.

Not Collinear Points (A, B, C)

If points A, B, and C are not collinear, it means that they do not lie on the same straight line. In this case, we can form multiple lines by joining pairs of these points.

Explanation:
When three points are not collinear, they do not lie on the same line. Let's say these points are A, B, and C. In this case, we can form different lines by joining pairs of these points.

- If we join points A and B, we get a line AB.
- If we join points B and C, we get a line BC.
- If we join points A and C, we get a line AC.

Since points A, B, and C are not collinear, they do not lie on the same line. Therefore, joining any two of these points will result in different lines. Hence, we can form three lines by joining pairs of A, B, and C when they are not collinear.

Summary:
- When points A, B, and C are collinear, only one line can be formed by joining any two of these points.
- When points A, B, and C are not collinear, three lines can be formed by joining pairs of these points.

Collinear