3.58: Perpendicular bisector of PQPQ; points R,SR,S

0606/13/O/N/22 — Question 13 · 7 marks

(a)
Points PP and QQ have coordinates (5,12)(-5, 12) and (15,6)(15, -6). Point RR lies on the perpendicular bisector of PQPQ and has xx-coordinate 77. Find the yy-coordinate of RR.
[4]
(b)
Point SS on the perpendicular bisector is such that its distance from PQPQ is 33 times the distance of RR from PQPQ. Find the two possible coordinates of SS.
[3]