CAIE P1 2018 June — Question 2

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2018
SessionJune
TopicInequalities

2 The equation of a curve is \(y = x ^ { 2 } - 6 x + k\), where \(k\) is a constant.
  1. Find the set of values of \(k\) for which the whole of the curve lies above the \(x\)-axis.
  2. Find the value of \(k\) for which the line \(y + 2 x = 7\) is a tangent to the curve.