In which plane the following points lie :
(i) (1,3, 0)
(ii) (-2, 0, 4)
(iii) (0, 4, -1)

Explanation

To determine the planes in which the given points lie, we can analyze the coordinates of each point. The three-dimensional coordinate system consists of the x, y, and z axes, and there are three primary coordinate planes:

1. **XY Plane**: This plane consists of all points where the z-coordinate is zero (z = 0).
2. **XZ Plane**: This plane consists of all points where the y-coordinate is zero (y = 0).
3. **YZ Plane**: This plane consists of all points where the x-coordinate is zero (x = 0).

Now, let's analyze each point one by one:

### Step 1: Analyze the first point (1, 3, 0)

- The coordinates are: x = 1, y = 3, z = 0.
- Since the z-coordinate is 0, this point lies in the **XY Plane**.

### Step 2: Analyze the second point (-2, 0, 4)

- The coordinates are: x = -2, y = 0, z = 4.
- Since the y-coordinate is 0, this point lies in the **XZ Plane**.

### Step 3: Analyze the third point (0, 4, -1)

- The coordinates are: x = 0, y = 4, z = -1.
- Since the x-coordinate is 0, this point lies in the **YZ Plane**.

### Summary of Results:
1. The point (1, 3, 0) lies in the **XY Plane**.
2. The point (-2, 0, 4) lies in the **XZ Plane**.
3. The point (0, 4, -1) lies in the **YZ Plane**.