SPS SPS SM Pure 2024 June — Question 13

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2024
SessionJune
TopicCircles

13. The point \(P ( p , 0 )\), the point \(Q ( - 2,10 )\) and the point \(R ( 8 , - 14 )\) lie on a circle, \(C _ { 2 }\) Given that
  • \(p\) is a positive constant
  • \(Q R\) is a diameter of \(C _ { 2 }\)
    find the exact value of \(p\).
    (4)
    (Total for Question 13 is 4 marks)