Question

find the value of p for which the points A (-1 , 3) , B (2 , p) and C (5 , -1) are collinear. Also, find the ratio in which B divides AC........​

Answer 1

for three points to be collinear, the slope of line between two points must be same

(p-3)/(2+1)=(3+1)/(-1-5)

p-3/3=4/-6

p-3=12/-6

p-3=-2

p=-2+3

p=1