Edexcel C2 2015 June — Question 2

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2015
SessionJune
TopicCircles

2. A circle \(C\) with centre at the point \(( 2 , - 1 )\) passes through the point \(A\) at \(( 4 , - 5 )\).
  1. Find an equation for the circle \(C\).
  2. Find an equation of the tangent to the circle \(C\) at the point \(A\), giving your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.