Identifying whether a point lies inside the circle

Identifying whether a point lies inside the circle

A circle has equation \({{x}^{2}}+{{y}^{2}}-8x+6y-4=0\). Showing your working clearly, determine whether a point \(T\left( 5,1 \right)\) lies inside the circle.

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Answer:\(T(5,1)\) lies inside the circle.

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