Question

P and Q are the points (1,2) and (2,3). Find the coordinates of a point R on the line segment PQ such that PR/RQ = 4/3

Answer 1

Given: Coordinates of P(2,-1) and Q(-3,4) and PR:RQ::2:3. We are to find the coordinates of R.

Section formula: Coordinates of R - [(mx2+nx1)/(m+n), (my2+ny1)/(m+n)]

[(2x(-3)+3x2)/(2+3), (2x4+3x(-1))/(2+3)]

=[0/5, 5/5]

= (0,1)

Answer 2

Coordinates of R - [(mx2+nx1)/(m+n), (my2+ny1)/(m+n)]

[(2x(-3)+3x2)/(2+3), (2x4+3x(-1))/(2+3)]

=[0/5, 5/5]

= (0,1)