Equation of XZ-plane is

Options

A. `x = 0`
B. `x = 0, y = 0`
C. `y = 0`
D. `y = 0, z = 0`

Answer

To find the equation of the XZ-plane, we need to understand the characteristics of this plane in three-dimensional space.

### Step-by-Step Solution:

1. **Understanding the XZ-plane**:
The XZ-plane is defined as the plane where the y-coordinate of any point is always zero. This means that any point on the XZ-plane can be represented as (x, 0, z), where x and z can take any real values.

2. **Setting up the equation**:
Since the y-coordinate is always zero for any point in the XZ-plane, we can express this condition mathematically as:
\[ y = 0 \]

3. **Conclusion**:
Therefore, the equation of the XZ-plane is simply:
\[ y = 0 \]

### Final Answer:
The equation of the XZ-plane is \( y = 0 \).