CAIE P3 2017 June — Question 4

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2017
SessionJune
TopicParametric equations

4 The parametric equations of a curve are $$x = t ^ { 2 } + 1 , \quad y = 4 t + \ln ( 2 t - 1 )$$
  1. Express \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(t\).
  2. Find the equation of the normal to the curve at the point where \(t = 1\). Give your answer in the form \(a x + b y + c = 0\).