Edexcel AS Paper 1 2019 June — Question 10

Exam BoardEdexcel
ModuleAS Paper 1 (AS Paper 1)
Year2019
SessionJune
TopicCircles

  1. A circle \(C\) has equation
$$x ^ { 2 } + y ^ { 2 } - 4 x + 8 y - 8 = 0$$
  1. Find
    1. the coordinates of the centre of \(C\),
    2. the exact radius of \(C\). The straight line with equation \(x = k\), where \(k\) is a constant, is a tangent to \(C\).
  2. Find the possible values for \(k\).