The sum of absicssa of a point on y-axis and ordinate of a point on x-axis is_____

Answer

To solve the problem, we need to understand the definitions of abscissa and ordinate in the context of points on the coordinate axes.

### Step-by-Step Solution:

1. **Define the Terms**:
- The **abscissa** of a point is its x-coordinate.
- The **ordinate** of a point is its y-coordinate.

2. **Identify Points on the Axes**:
- A point on the **y-axis** can be represented as (0, y), where the abscissa (x-coordinate) is 0.
- A point on the **x-axis** can be represented as (x, 0), where the ordinate (y-coordinate) is 0.

3. **Find the Abscissa on the Y-axis**:
- For any point on the y-axis, the abscissa is always 0.
- Therefore, if we take a point (0, a) on the y-axis, the abscissa is 0.

4. **Find the Ordinate on the X-axis**:
- For any point on the x-axis, the ordinate is always 0.
- Therefore, if we take a point (b, 0) on the x-axis, the ordinate is 0.

5. **Calculate the Sum**:
- Now, we need to find the sum of the abscissa of a point on the y-axis and the ordinate of a point on the x-axis:
\[ \text{Sum} = \text{Abscissa (y-axis)} + \text{Ordinate (x-axis)} = 0 + 0 = 0 \]

6. **Final Answer**:
- The sum of the abscissa of a point on the y-axis and the ordinate of a point on the x-axis is **0**.