3.83: Line meets curve; area of triangle POQPOQ

0606/22/O/N/25 — Question 1 · 9 marks

(a)
The line y=4x−3y=4x-3 meets the curve y=x2−5x+2y=x^{2}-5x+2 at the points AA and BB. Find the coordinates of AA and BB.
[4]
(b)
The perpendicular bisector of ABAB meets the axes at PP and QQ. Find the area of triangle POQPOQ.
[5]