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September 15, 2026
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Math Target Difficulty: 800 Level
The equation of a circle in the \( xy \)-plane is given by: \[ x^2 + y^2 + 6x - 8y - 75 = 0 \] Line \( \ell \) is tangent to this circle at the point \( P(-3, 14) \). What is the equation of line \( \ell \)?
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