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Clever coordinate geometry

Geometry Level 3

A line is tangent to the circle \(x^2 + y^2 = 4\) and passes through the point \((5, 0)\). If the line is tangent at \((m, n)\), find the value of \(m\).

\[\frac{3}{5}\] \[\frac{6}{5}\] \[\frac{4}{5}\] \[1\]

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by Andrew Ellinor

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