Edexcel AS Paper 1 2018 June — Question 14

Exam BoardEdexcel
ModuleAS Paper 1 (AS Paper 1)
Year2018
SessionJune
TopicCircles

  1. The circle \(C\) has equation
$$x ^ { 2 } + y ^ { 2 } - 6 x + 10 y + 9 = 0$$
  1. Find
    1. the coordinates of the centre of \(C\)
    2. the radius of \(C\) The line with equation \(y = k x\), where \(k\) is a constant, cuts \(C\) at two distinct points.
  2. Find the range of values for \(k\).