Question

The point P(x,y)which divides the line segment joining the points A(1,2) and B(-1,1) in the ratio 1:2.Find the co ordinate of point P.​

Answer 1

Answer:

P(x , y) = P(1/3 , 5/3)

Step-by-step explanation:

the ratio of segment is 1:2 . So , m=1 and n=2 from the point A and B we get x1=1 , y1 =2 , x2 = -1 and y2 =1

from the formula of internal section

P(x)=(m*x2 + n*x1)/(m + n) = (1*(-1) + 2*1) / (1+2) = 1/3

P(y)=(m*y2 + n*y1)/(m + n) = (1*1 + 2*2) / (1+2) = 5/3