Edexcel C12 2019 January — Question 9

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2019
SessionJanuary
TopicCircles

9. The circle \(C\) has equation $$x ^ { 2 } + y ^ { 2 } + 10 x - 6 y + 9 = 0$$
  1. Find the coordinates of the centre of \(C\).
  2. Find the radius of \(C\). The point \(P ( - 2,7 )\) lies on \(C\).
  3. Find an equation of the tangent to \(C\) at the point \(P\). Write your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.