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 find 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. We will solve this problem in two parts: (i) for internal division and (ii) for external division.

### (i) Internal Division

1. **Identify the Points and the Ratio:**
- Let point A = (6, 3) and point B = (-4, 5).
- The ratio in which point C divides AB is 3:2.

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