Find the coordinates of the point which divides the line segments joining the points `(6,3)` and `(-4,5)` in the ratio `3:2` (i) internally and (ii) externally.

Explanation

To solve the problem of finding the coordinates of the point that divides the line segment joining the points (6, 3) and (-4, 5) in the ratio 3:2, we will use the section formula for both internal and external division.

### Step-by-Step Solution

**(i) Internal Division:**

1. **Identify the Points and Ratio:**
- Let the points be A(6, 3) and B(-4, 5).
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