OCR H240/03 2019 June — Question 2

Exam BoardOCR
ModuleH240/03 (Pure Mathematics and Mechanics)
Year2019
SessionJune
TopicCircles

2 A circle with centre \(C\) has equation \(x ^ { 2 } + y ^ { 2 } - 6 x + 4 y + 4 = 0\).
  1. Find
    1. the coordinates of \(C\),
    2. the radius of the circle.
  2. Determine the set of values of \(k\) for which the line \(y = k x - 3\) does not intersect or touch the circle.