Question: Find the coordinates of the point that divides the segment joining (1, 2) and (5, 6) in the ratio 2:1.

Options:

1. (3, 4)
2. (4, 5)
3. (2, 3)
4. (5, 5)

Correct Answer: (3, 4)

Solution:

Using the section formula: P = ((2*5 + 1*1)/(2+1), (2*6 + 1*2)/(2+1)) = (3, 4).