Answer to Question #72620 in Math for sfe

Question

The vertices of a triangle ΔABC are Apq (,) , B(,) r s ,Cuv (,) . Assume that these
coordinates satisfy
2 34 0
234 0
pru
qsv
⎧ ++ = ⎨
⎩ ++ =
and the origin O(0,0) lies in the interior
of ΔABC . If (area of ΔOBC )=r(area of ΔABC ), then r =
(a) 2
9
(b) 4
9
(c) 2
7
(d) 3
7
(e) 4
7