In which quadrant do the given points lie.
i) `(3,-2)`

Answer

To determine in which quadrant the point `(3, -2)` lies, we can follow these steps:

### Step 1: Understand the Coordinate System
The Cartesian coordinate system is divided into four quadrants:
- **First Quadrant (I)**: where both x and y are positive (x > 0, y > 0)
- **Second Quadrant (II)**: where x is negative and y is positive (x < 0, y > 0)
- **Third Quadrant (III)**: where both x and y are negative (x < 0, y < 0)
- **Fourth Quadrant (IV)**: where x is positive and y is negative (x > 0, y < 0)

### Step 2: Identify the Coordinates
The given point is `(3, -2)`. Here:
- The x-coordinate is `3` (which is positive).
- The y-coordinate is `-2` (which is negative).

### Step 3: Determine the Quadrant
Since the x-coordinate is positive and the y-coordinate is negative, we can conclude that the point lies in the **Fourth Quadrant (IV)**.

### Final Answer
The point `(3, -2)` lies in the **Fourth Quadrant**.

---