Question

A(2,5) ,B(x,y) and c(-1,2) are collinear points such that AB=2BC. Find the coordinates of B. Do step by step clearly .​

Answer 1

(0, 3)

Explanation:

AB = 2BC and ABC are co-linear: (AB : BC = 2 : 1)

`\boxed{x_B=(1* x_A+2* x_C)/(1+2) ;\ y_B=(1* y_A+2* y_C)/(1+2) }`

`x_B=(1(2)+2(-1))/(1+2) ;\ y_B=(1(5)+2(2))/(1+2)`

`x_B=0;\ y_B=3`

B = (0, 3)