Edexcel AS Paper 1 2023 June — Question 6

Exam BoardEdexcel
ModuleAS Paper 1 (AS Paper 1)
Year2023
SessionJune
TopicCircles
  1. The circle \(C\) has equation
$$x ^ { 2 } + y ^ { 2 } - 6 x + 10 y + k = 0$$ where \(k\) is a constant.
  1. Find the coordinates of the centre of \(C\). Given that \(C\) does not cut or touch the \(x\)-axis,
  2. find the range of possible values for \(k\).
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