P is point on x -axis at a distance of 3 unit from y-axis to its left . The co-ordinates of P are :

Options

A. (3, 0)
B. (0,3)
C. (-3,0)
D. (0, -3)

Answer

To find the coordinates of point P on the x-axis that is 3 units to the left of the y-axis, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Position of Point P**:
- Point P is on the x-axis. This means that the y-coordinate of P will be 0 because all points on the x-axis have a y-coordinate of 0.

2. **Determine the x-coordinate**:
- The problem states that point P is 3 units to the left of the y-axis.
- The y-axis is represented by the line x = 0.
- If we move to the left of the y-axis, the x-coordinate becomes negative.

3. **Calculate the x-coordinate**:
- Since P is 3 units to the left of the y-axis, we subtract 3 from 0 (the x-coordinate of the y-axis).
- Therefore, the x-coordinate of point P will be:
\[ x = 0 - 3 = -3 \]

4. **Combine the Coordinates**:
- Now that we have both coordinates, we can write the coordinates of point P as:
\[ P = (-3, 0) \]

### Final Answer:
The coordinates of point P are \((-3, 0)\).

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