Unknown radius from tangency conditions

Unknown radius from tangency conditions

Secondary 3
TGM Original Questions

The circle \(C_1\) has centre \((-1,2)\) and radius \(5\). A second circle \(C_2\) has centre \((5,10)\) and radius \(r\). Find the possible values of \(r\) for which the two circles touch.

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Answer:\(r=5\) (externally tangent) or \(r=15\) (internally tangent).

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