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Any three point are always collinear....

Any three point are always collinear.

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To determine whether the statement "Any three points are always collinear" is true or false, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Collinearity**: - Collinear points are points that lie on the same straight line. 2. **Choosing Three Points**: - Let's consider three arbitrary points, A, B, and C. 3. **Visualizing the Points**: - Imagine placing these points on a coordinate plane or a graph. 4. **Checking for Collinearity**: - To check if points A, B, and C are collinear, we can visualize or draw a line through points A and B. - If point C lies on this line, then A, B, and C are collinear. - If point C does not lie on this line, then A, B, and C are not collinear. 5. **Conclusion**: - Since we can choose three points such that they do not lie on the same straight line (for example, forming a triangle), we conclude that the statement "Any three points are always collinear" is false. - Therefore, it is not true that any three points are always collinear. ### Final Answer: The statement "Any three points are always collinear" is **false**. ---
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