Edexcel Mathematics Specimen paper · Paper 2 · Question 9 · ExamRizz

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Specimen paper · Paper 2 · Question 9 · 9 marks

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

Lesson: Equations of a Straight Line