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How many distinct lines can be drawn to ...

How many distinct lines can be drawn to pass through two points simultaneously ?

A

One

B

Two

C

More than three

D

Zero

Text Solution

AI Generated Solution

The correct Answer is:
To determine how many distinct lines can be drawn to pass through two points simultaneously, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Points**: Let's denote the two points as \( P \) and \( Q \). These points can be anywhere on a plane. 2. **Drawing a Line**: A line is defined as a straight path that extends infinitely in both directions. To draw a line through points \( P \) and \( Q \), we need to connect these two points. 3. **Identifying Distinct Lines**: When we draw a line through \( P \) and \( Q \), we can observe that this line is unique. No matter how we position the points \( P \) and \( Q \), there will always be only one straight line that can connect them. 4. **Conclusion**: Since we can only draw one distinct line that passes through both points \( P \) and \( Q \), the answer to the question is that only **one distinct line** can be drawn through two points simultaneously. 5. **Final Answer**: Therefore, the answer is **1**.
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