CAIE P1 2019 June — Question 2

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2019
SessionJune
TopicImplicit equations and differentiation

2 The line \(4 y = x + c\), where \(c\) is a constant, is a tangent to the curve \(y ^ { 2 } = x + 3\) at the point \(P\) on the curve.
  1. Find the value of \(c\).
  2. Find the coordinates of \(P\).