Question: If a point P divides the line segment joining A(2, 3) and B(8, 7) in the ratio 1:3, what are the coordinates of point P?

Options:

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

Correct Answer: (5, 5)

Solution:

Using the section formula: P = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)) where m=1, n=3, A(2,3), B(8,7). P = ((1*8 + 3*2)/(1+3), (1*7 + 3*3)/(1+3)) = (5, 5).