3.3: Circle through three points via a diameter

0606/12/O/N/25 — Question 7 · 6 marks

The point AA has coordinates (−2,4)(-2, 4).
The point BB has coordinates (6,10)(6, 10).
The point CC has coordinates (12,2)(12, 2).
(a)
Find the gradients of the lines ABAB, ACAC and BCBC.
[2]
(b)
Hence find the equation of the circle which passes through the points AA, BB and CC.
[4]