OCR C1 2011 June — Question 9

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2011
SessionJune
TopicCircles

9 The points \(A ( 1,3 ) , B ( 7,1 )\) and \(C ( - 3 , - 9 )\) are joined to form a triangle.
  1. Show that this triangle is right-angled and state whether the right angle is at \(A , B\) or \(C\).
  2. The points \(A , B\) and \(C\) lie on the circumference of a circle. Find the equation of the circle in the form \(x ^ { 2 } + y ^ { 2 } + a x + b y + c = 0\).