Question

Consider the following two points: A(-2,3) and B(2,-1). Find the point which divides externally in the ratio

(a) 1:3

Answer 1

The point which divides externally in the ratio 1:3 is (1, 0)

Step-by-step explanation:

To find the point which divides externally in the ratio 1:3, we can use the section formula. Let the coordinates of the point be (x, y). According to the section formula,

x = (1 * x1 + 3 * x2) / (1 + 3) = (-2 + 3*2) / 4 = 4/4 = 1

y = (1 * y1 + 3 * y2) / (1 + 3) = (3 + 3 * (-1)) / 4 = (3 - 3) / 4 = 0

So the point which divides externally in the ratio 1:3 is (1, 0).