Question

6. If A and B are (-2,-2) and (2,-4) respectively. Find the coordinates of P such that
3/7AP= AB and P lies on the segment AB.
​

Answer 1

Answer:

P(5,-22/4)

Step-by-step explanation:

(if the point P divide the seg AB externally)

Here, A(-2,-2) and B(2,-4)

let co-ordinates of P (x, y)

given that, 3/7AP= AB

AP/AB= 7/3

AP: AB= 7:3

By section formula,

x = mx2 - nx1 / m-n y = my2 - ny1 /m-n

x = 7 x 2 - 3 x -2 / 7-3 y = 7 x -4 - 3 x -2 / 7-3

x = 14 + 6 / 4 y = -28 + 6 / 4

x = 20 / 4 y = -22 / 4

x = 5

the co-ordinates of point P ( 5,-22/4)