Question

if a and bare (-2,-2) and (-2,-4) respactvely find the coordinate of p such that ap=3/7 ab and p lies on the line segment ab​

Answer 1

Let two points beA (x₁,y₁,) and B(x₂,y₂).

If  P (x,y) is a point on the line segment AB which divides AB in the ratio m:n internally, then

x = (mx₂ + nx₁)(m + n)  y = (my₂ + ny₁)/(m + n)

Here,

let coordinates of P be (x,y)

Given P divides in ratio 3:7

x = [3(-2) + 7(-2)]/(3+7)       y = [3(-4) + 7(-2)]/(3+7)

x = -2 and y = -13/5

P = (-2,-13/5)