The points whose co–ordinates are x=x1+t(x2−x1), y=y1+t(y2−y1) divides the join of (x1,y1) and (x2,y2) in the ratio

x=x1+t(x2−x1),y=y+t(y2−y1) x=(1−t)x1+tx2(1−t)+t,y=(1−t)+ty2(1−t)+t ⇒  p(x,y) divides join of A(x 1,y1) & B(x 2,y2)  in the ratio  t : 1−t Ratio =t1−t