Question: What is the section formula for dividing the line segment joining points (1, 2) and (4, 6) in the ratio 2:1?

Options:

1. (2, 3)
2. (3, 4)
3. (2.5, 4)
4. (3, 5)

Correct Answer: (3, 4)

Solution:

Using the section formula: P = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)) where m=2, n=1, P = ((2*4 + 1*1)/(2+1), (2*6 + 1*2)/(2+1)) = (3, 4).