If both the coordinates of a point are negative then that point will lie in

Options

A. First quadrant
B. Second quadrant
C. Third quadrant
D. Fourth quadrant

Answer

To determine in which quadrant a point lies when both of its coordinates are negative, we can follow these steps:

### Step-by-Step Solution

1. **Understand the Coordinate System**:
- The Cartesian coordinate system consists of four quadrants, defined by the signs of the x and y coordinates.
- Quadrant I: (x > 0, y > 0) - Both coordinates are positive.
- Quadrant II: (x < 0, y > 0) - x is negative, y is positive.
- Quadrant III: (x < 0, y < 0) - Both coordinates are negative.
- Quadrant IV: (x > 0, y < 0) - x is positive, y is negative.

2. **Identify the Signs of the Coordinates**:
- The problem states that both coordinates of the point are negative. This means that x < 0 and y < 0.

3. **Locate the Point on the Graph**:
- Starting from the origin (0,0), if we move left (negative x-direction) and down (negative y-direction), we will be moving into the third quadrant.

4. **Conclusion**:
- Since both coordinates are negative, the point will lie in the third quadrant.

### Final Answer:
The point will lie in the **third quadrant**.

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