Edexcel Paper 1 2022 June — Question 3

Exam BoardEdexcel
ModulePaper 1 (Paper 1)
Year2022
SessionJune
TopicCircles

  1. A circle has equation
$$x ^ { 2 } + y ^ { 2 } - 10 x + 16 y = 80$$
  1. Find
    1. the coordinates of the centre of the circle,
    2. the radius of the circle. Given that \(P\) is the point on the circle that is furthest away from the origin \(O\),
  2. find the exact length \(O P\)