For every point `P(x,y,z)` on the x-axis, (except the origin),

Options

A. `x=0,y=0,y!=0`
B. `x=0,z=0,y!=0`
C. `y=0,z=0,x!=0`
D. none of these

Explanation

To solve the problem, we need to analyze the coordinates of a point \( P(x, y, z) \) that lies on the x-axis, excluding the origin.

### Step-by-Step Solution:

1. **Understanding the x-axis**:
- The x-axis in a three-dimensional coordinate system is defined as the line where the y-coordinate and z-coordinate are both zero.
- Therefore, any point \( P \) on the x-axis can be represented as \( P(x, 0, 0) \).

2. **Identifying the coordinates**:
- Since the problem specifies that the point \( P \) is on the x-axis except for the origin, we can conclude that the x-coordinate \( x \) must be a non-zero value.
- Hence, the coordinates of point \( P \) can be expressed as \( P(x, 0, 0) \) where \( x \neq 0 \).

3. **Conclusion**:
- The correct representation of every point \( P \) on the x-axis (except the origin) is that the y-coordinate and z-coordinate are both zero, while the x-coordinate is a non-zero value.
- Therefore, the answer to the question is that for every point \( P(x, y, z) \) on the x-axis (except the origin), \( y = 0 \) and \( z = 0 \) with \( x \neq 0 \).

### Final Answer:
For every point \( P(x, y, z) \) on the x-axis (except the origin), we have:
- \( y = 0 \)
- \( z = 0 \)
- \( x \) is a non-zero value.