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0606 P12 - Nov 2025 - Q7 - 6 marks
7084

The point \(A\) has coordinates \((-2,4)\). The point \(B\) has coordinates \((6,10)\). The point \(C\) has coordinates \((12,2)\).

(a) Find the gradients of the lines \(AB\), \(AC\) and \(BC\).

(b) Hence find the equation of the circle which passes through the points \(A\), \(B\) and \(C\).

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