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The number of perpendicular that can be ...

The number of perpendicular that can be drawn to a line from a point not on it is

A

1

B

2

C

4

D

infinitely many.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question of how many perpendicular lines can be drawn from a point not on a line, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Problem**: We need to determine how many perpendicular lines can be drawn from a point that is not located on a given straight line. 2. **Visualizing the Situation**: Imagine a straight line drawn on a plane. Now, select a point above or below this line that does not lie on it. 3. **Drawing a Perpendicular Line**: To draw a perpendicular line from the chosen point to the line, we need to ensure that the angle formed between the perpendicular line and the original line is 90 degrees. 4. **Identifying the Unique Perpendicular**: When we draw a line from the point to the line, there is only one way to do this such that the angle is exactly 90 degrees. Any other line drawn from the same point to the line will not form a right angle (90 degrees) with the line. 5. **Conclusion**: Therefore, the number of perpendicular lines that can be drawn from a point not on a line is exactly **one**. ### Final Answer: The number of perpendicular lines that can be drawn from a point not on a line is **1**.
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