Question: What is the coordinates of the point that divides the line segment joining (0, 0) and (4, 4) in the ratio 1:3?

Options:

1. (1, 1)
2. (2, 2)
3. (3, 3)
4. (1.5, 1.5)

Correct Answer: (2, 2)

Solution:

Using the section formula: P = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)) where m=1, n=3, P = ((1*4 + 3*0)/(1+3), (1*4 + 3*0)/(1+3)) = (1, 1).