3.6: Circle: point on circumference, diameter and tangent

0606/11/M/J/25 — Question 3 · 6 marks

(a)
Point AA has coordinates (−3, 1)(-3,\ 1). A circle has equation (x−4)2+(y+3)2=52(x - 4)^{2} + (y + 3)^{2} = 5^{2}. Show that AA lies on the circumference.
[1]
(b)
Given that ABAB is a diameter, find the coordinates of BB.
[2]
(c)
Find the equation of the tangent to the circle at AA.
[3]