Question: What is the section formula for dividing a line segment in the ratio 2:3?

Options:

1. (2x2 + 3x1)/(2 + 3), (2y2 + 3y1)/(2 + 3)
2. (3x2 + 2x1)/(3 + 2), (3y2 + 2y1)/(3 + 2)
3. (x1 + x2)/2, (y1 + y2)/2
4. (x2 - x1)/(y2 - y1)

Correct Answer: (2x2 + 3x1)/(2 + 3), (2y2 + 3y1)/(2 + 3)

Solution:

The section formula for dividing a line segment in the ratio m:n is ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)).