OCR C1 2014 June — Question 9

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2014
SessionJune
TopicCircles

9 A circle with centre \(C\) has equation \(( x - 2 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 25\).
  1. Show that no part of the circle lies above the \(x\)-axis.
  2. The point \(P\) has coordinates \(( 6 , k )\) and lies inside the circle. Find the set of possible values of \(k\).
  3. Prove that the line \(2 y = x\) does not meet the circle.