2.11: Perpendicular bisector and parallel line intersection

0606/22/M/J/20 — Question 5 · 8 marks

Solutions to this question by accurate drawing will not be accepted.

The points AA and BB are (4,3)(4, 3) and (12,−7)(12, -7) respectively.
(a)
Find the equation of the line LL, the perpendicular bisector of the line ABAB.
[4]
(b)
The line parallel to ABAB which passes through the point (5,12)(5, 12) intersects LL at the point CC. Find the coordinates of CC.
[4]