Question: What is the coordinates of the point that divides the line segment joining (0, 0) and (6, 8) in the ratio 3:1?

Options:

1. (4.5, 6)
2. (3, 4)
3. (4, 5)
4. (3.5, 4)

Correct Answer: (4.5, 6)

Solution:

Using the section formula: P = ((3*6 + 1*0)/(3+1), (3*8 + 1*0)/(3+1)) = (4.5, 6).