OCR C1 2013 June — Question 6

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2013
SessionJune
TopicCircles

6 A circle \(C\) has equation \(x ^ { 2 } + y ^ { 2 } + 8 y - 24 = 0\).
  1. Find the centre and radius of the circle.
  2. The point \(A ( 2,2 )\) lies on the circumference of \(C\). Given that \(A B\) is a diameter of the circle, find the coordinates of \(B\).