In which quadrant do the given points lie.
ii) `(17,-30)`

Answer

To determine in which quadrant the point `(17, -30)` lies, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Coordinates**:
- The given point is `(17, -30)`.
- Here, `17` is the x-coordinate and `-30` is the y-coordinate.

2. **Determine the Sign of the Coordinates**:
- The x-coordinate `17` is positive (greater than 0).
- The y-coordinate `-30` is negative (less than 0).

3. **Recall the Quadrant Rules**:
- In the Cartesian coordinate system:
- **First Quadrant**: x > 0 and y > 0
- **Second Quadrant**: x < 0 and y > 0
- **Third Quadrant**: x < 0 and y < 0
- **Fourth Quadrant**: x > 0 and y < 0

4. **Analyze the Signs**:
- Since the x-coordinate is positive and the y-coordinate is negative, we can conclude that the point lies in the fourth quadrant.

5. **Final Conclusion**:
- Therefore, the point `(17, -30)` lies in the **fourth quadrant**.