CAIE P1 2008 November — Question 8

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2008
SessionNovember
TopicStraight Lines & Coordinate Geometry

8 The equation of a curve is \(y = 5 - \frac { 8 } { x }\).
  1. Show that the equation of the normal to the curve at the point \(P ( 2,1 )\) is \(2 y + x = 4\). This normal meets the curve again at the point \(Q\).
  2. Find the coordinates of \(Q\).
  3. Find the length of \(P Q\).