The point P which divides the line segment joining A(1,3) and B(4,6) in the ratio 2:1 lies in which quadrant?
Answer: A
Using the section formula:
x = \(\frac{2(4) + 1(1)}{2+1} = \frac{8+1}{3} = 3\)
y = \(\frac{2(6) + 1(3)}{2+1} = \frac{12+3}{3} = 5\)
The point is P(3, 5). Since both coordinates are positive, the point lies in the First Quadrant.