Edexcel C1 2012 January — Question 5

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2012
SessionJanuary
TopicCurve Sketching
TypePolynomial with line intersection

5. The curve \(C\) has equation \(y = x ( 5 - x )\) and the line \(L\) has equation \(2 y = 5 x + 4\)
  1. Use algebra to show that \(C\) and \(L\) do not intersect.
  2. In the space on page 11, sketch \(C\) and \(L\) on the same diagram, showing the coordinates of the points at which \(C\) and \(L\) meet the axes.