Write 'T' for true and 'F' for false in case of each of the following statements
If points A,B,C are collinear and points C,D,E are collinear then the points A,B,C,D,E are collinear.

Answer

To determine whether the statement is true or false, we need to analyze the given information about the points.

1. **Understanding Collinearity**:
- Points A, B, and C are collinear. This means that they lie on the same straight line.
- Points C, D, and E are also collinear, meaning they too lie on the same straight line.

2. **Analyzing the Relationship**:
- Since point C is common in both sets (A, B, C) and (C, D, E), we need to check if the points A, B, C, D, and E can all lie on the same straight line.
- However, just because A, B, and C are on one line, and C, D, and E are on another line, it does not necessarily mean that A, B, D, and E are also on the same line.

3. **Conclusion**:
- Therefore, it is possible for points A, B, C to be on one line and points C, D, E to be on another line that intersects at point C. This means that A, B, C, D, and E are not guaranteed to be collinear.
- Thus, the statement "If points A, B, C are collinear and points C, D, E are collinear then the points A, B, C, D, E are collinear" is **False**.

Final Answer: **F** (False)