CAIE P1 2016 June — Question 8

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2016
SessionJune
TopicStraight Lines & Coordinate Geometry

8 A curve has equation \(y = 3 x - \frac { 4 } { x }\) and passes through the points \(A ( 1 , - 1 )\) and \(B ( 4,11 )\). At each of the points \(C\) and \(D\) on the curve, the tangent is parallel to \(A B\). Find the equation of the perpendicular bisector of \(C D\).