0606 P11 - Jun 2025 - Q3 - 6 marks
7105
Point \(A\) has coordinates \((3,-1)\).
A circle has equation \((x-4)^2+(y+3)^2=5\).
(a) Show that \(A\) lies on the circumference of the circle.
(b) Given that \(AB\) is a diameter of the circle, find the coordinates of \(B\).
(c) Find the equation of the tangent to the circle at \(A\).
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