OCR AS Pure 2017 Specimen — Question 2

Exam BoardOCR
ModuleAS Pure (AS Pure Mathematics)
Year2017
SessionSpecimen
TopicCircles

2 Points \(A\) and \(B\) have coordinates \(( 3,0 )\) and \(( 9,8 )\) respectively. The line \(A B\) is a diameter of a circle.
  1. Find the coordinates of the centre of the circle.
  2. Find the equation of the tangent to the circle at the point \(B\).