What is the perpendicular distance of the point (x , y) from X-axis ?

Options

A. x
B. y
C. |x|
D. |y|

Answer

To find the perpendicular distance of the point (x, y) from the X-axis, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Coordinate System**:
- The X-axis is the horizontal line where the y-coordinate is 0.
- The Y-axis is the vertical line where the x-coordinate is 0.

2. **Identify the Point**:
- We have a point represented as (x, y). Here, 'x' is the x-coordinate and 'y' is the y-coordinate of the point.

3. **Draw the Perpendicular Line**:
- To find the perpendicular distance from the point (x, y) to the X-axis, we can visualize a vertical line drawn from the point down to the X-axis. This vertical line represents the distance we want to calculate.

4. **Calculate the Distance**:
- The distance from the point (x, y) to the X-axis is simply the y-coordinate of the point. Thus, the perpendicular distance is equal to 'y'.

5. **Consider Absolute Value**:
- Since distance cannot be negative, we take the absolute value of the y-coordinate. Therefore, the perpendicular distance from the point (x, y) to the X-axis is given by |y|.

### Final Answer:
The perpendicular distance of the point (x, y) from the X-axis is |y|.