Edexcel C2 — Question 5

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
TopicCircles

  1. The circle \(C\) has centre \(( - 1,6 )\) and radius \(2 \sqrt { 5 }\).
    1. Find an equation for \(C\).
    The line \(y = 3 x - 1\) intersects \(C\) at the points \(A\) and \(B\).
  2. Find the \(x\)-coordinates of \(A\) and \(B\).
  3. Show that \(A B = 2 \sqrt { 10 }\).