Problema Solution
if P(-2,5), Q(3,2) and R(x,y) are three collinear points.find the co-ordinates of R if PR=2QR
Answer provided by our tutors
We will solve assuming that R(x, y) lies in the segment PQ.
We will use the following Theorem:
PR:QR = 2:1
P(-2, 5), Q(3, 2)
R = ((2*3+1*(-2))/(2+1), (2*2+1*5)/(2+1))
R = (4/3, 3)