3.4: Circle from centre and an axis intercept

0606/21/O/N/25 — Question 5 · 5 marks

Solutions to this question by accurate drawing will not be accepted.

A circle has centre (4,2)(4, 2) and meets the xx-axis at (2,0)(-2, 0).
(a)
Find the equation of the circle.
[2]
(b)
Find, in exact form, the coordinates of the points where the circle meets the yy-axis.
[3]