CAIE P1 2006 June — Question 9

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2006
SessionJune
TopicIntegration by Substitution

9 A curve is such that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 4 } { \sqrt { } ( 6 - 2 x ) }\), and \(P ( 1,8 )\) is a point on the curve.
  1. The normal to the curve at the point \(P\) meets the coordinate axes at \(Q\) and at \(R\). Find the coordinates of the mid-point of \(Q R\).
  2. Find the equation of the curve.