2024 ACS(BR) P2 Q4

2024 ACS(BR) P2 Q4

Secondary 4
7 marks

A tangent to a circle at the point \((6,10)\) passes through the point \((9,6)\). The centre of the circle lies on the line \(3y=4x+13\).

Showing all your working, find the equation of the circle.[7]

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Answer:\((x-2)^2+(y-7)^2=25\).

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