Question: What is the coordinates of the point that divides the line segment joining (2, 3) and (10, 7) in the ratio 3:1?

Options:

1. (5, 4)
2. (6, 5)
3. (7, 6)
4. (8, 5)

Correct Answer: (6, 5)

Solution:

Using the section formula: C = ((3*10 + 1*2)/(3+1), (3*7 + 1*3)/(3+1)) = (7.5, 5.25).