1.18: Perpendicular bisector and area of triangle RSMRSM

0606/13/O/N/17 — Question 12 · 12 marks

The line y=2x+1y = 2x + 1 intersects the curve xy=14−2yxy = 14 - 2y at the points PP and QQ. The midpoint of the line PQPQ is the point MM.
(i)
Show that the point (−10, 238)\left(-10,\, \dfrac{23}{8}\right) lies on the perpendicular bisector of PQPQ.
[9]
(ii)
Find the area of the triangle RSMRSM.
[3]