Edexcel Paper 2 Specimen — Question 9

Exam BoardEdexcel
ModulePaper 2 (Paper 2)
SessionSpecimen
TopicCircles

  1. A circle with centre \(A ( 3 , - 1 )\) passes through the point \(P ( - 9,8 )\) and the point \(Q ( 15 , - 10 )\)
    1. Show that \(P Q\) is a diameter of the circle.
    2. Find an equation for the circle.
    A point \(R\) also lies on the circle. Given that the length of the chord \(P R\) is 20 units,
  2. find the length of the shortest distance from \(A\) to the chord \(P R\). Give your answer as a surd in its simplest form.
  3. Find the size of angle \(A R Q\), giving your answer to the nearest 0.1 of a degree.