In which quadrant does the given points lie
(i) `(4,-2)`
(ii) `(-2,-2)`
(iii) `(4,3)`
(iv) `(-3,4)`

Explanation

To determine in which quadrant each of the given points lies, we first need to understand the Cartesian coordinate system, which is divided into four quadrants:

1. **First Quadrant (I)**: Both x and y coordinates are positive (x > 0, y > 0).
2. **Second Quadrant (II)**: x coordinate is negative and y coordinate is positive (x < 0, y > 0).
3. **Third Quadrant (III)**: Both x and y coordinates are negative (x < 0, y < 0).
4. **Fourth Quadrant (IV)**: x coordinate is positive and y coordinate is negative (x > 0, y < 0).

Now, let's analyze each point one by one:

### Step 1: Analyze the point (4, -2)
- Here, x = 4 (positive) and y = -2 (negative).
- Since x is positive and y is negative, this point lies in the **Fourth Quadrant (IV)**.

### Step 2: Analyze the point (-2, -2)
- Here, x = -2 (negative) and y = -2 (negative).
- Since both x and y are negative, this point lies in the **Third Quadrant (III)**.

### Step 3: Analyze the point (4, 3)
- Here, x = 4 (positive) and y = 3 (positive).
- Since both x and y are positive, this point lies in the **First Quadrant (I)**.

### Step 4: Analyze the point (-3, 4)
- Here, x = -3 (negative) and y = 4 (positive).
- Since x is negative and y is positive, this point lies in the **Second Quadrant (II)**.

### Summary of Quadrants:
- (4, -2) → Fourth Quadrant (IV)
- (-2, -2) → Third Quadrant (III)
- (4, 3) → First Quadrant (I)
- (-3, 4) → Second Quadrant (II)