The points whose abscissa and ordinate have different signs will lie in

Options

A. I and II quadrants
B. II and III quadrants
C. I and III quadrants
D. II and IV quadrants

Explanation

To determine in which quadrants the points whose abscissa (x-coordinate) and ordinate (y-coordinate) have different signs lie, we can analyze the signs of the coordinates in each of the four quadrants of the Cartesian plane.

### Step-by-Step Solution:

1. **Understanding the Quadrants:**
- The Cartesian plane is divided into four quadrants:
- **First Quadrant (I):** Both x and y are positive. (x > 0, y > 0)
- **Second Quadrant (II):** x is negative, y is positive. (x < 0, y > 0)
- **Third Quadrant (III):** Both x and y are negative. (x < 0, y < 0)
- **Fourth Quadrant (IV):** x is positive, y is negative. (x > 0, y < 0)

2. **Identifying Different Signs:**
- We need to find the quadrants where the signs of x and y are different.
- In the **Second Quadrant (II)**: x is negative and y is positive. (Different signs)
- In the **Fourth Quadrant (IV)**: x is positive and y is negative. (Different signs)

3. **Conclusion:**
- The points whose abscissa and ordinate have different signs lie in the **Second Quadrant (II)** and **Fourth Quadrant (IV)**.

### Final Answer:
The points whose abscissa and ordinate have different signs will lie in the **Second and Fourth Quadrants**.

---