The intersection of XY-plane and YZ-plane is known as

Options

A. x-axis
B. y-axis
C. z-axis
D. Origin

Answer

To solve the question, "The intersection of XY-plane and YZ-plane is known as," we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Planes**:
- The XY-plane is defined by the equation \( z = 0 \). This means that any point on this plane has a z-coordinate of 0.
- The YZ-plane is defined by the equation \( x = 0 \). This means that any point on this plane has an x-coordinate of 0.

2. **Finding the Intersection**:
- The intersection of two planes is generally a line. To find the intersection of the XY-plane and YZ-plane, we need to find the common points that satisfy both equations.
- From the XY-plane, we have \( z = 0 \).
- From the YZ-plane, we have \( x = 0 \).

3. **Setting Up the Intersection**:
- For the intersection, we can set \( x = 0 \) (from the YZ-plane) and \( z = 0 \) (from the XY-plane).
- The coordinates of the points on the intersection line can be represented as \( (0, y, 0) \), where \( y \) can take any value.

4. **Identifying the Line**:
- The points \( (0, y, 0) \) indicate that the intersection line lies along the Y-axis in the three-dimensional coordinate system.
- Therefore, the intersection of the XY-plane and YZ-plane is the Y-axis.

5. **Conclusion**:
- We conclude that the intersection of the XY-plane and YZ-plane is known as the Y-axis.

### Final Answer:
The intersection of the XY-plane and YZ-plane is known as the **Y-axis**.

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