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Point of contact: (21, 8)

Equation of circle: x^2 -y^2 -8x -16y -209 = 0

Completing the squares: (x-4)^2 +(y-8)^2 = 289

Centre of circle: (4, 8) and its radius is 17

Slope of radius: 0

Slope of tangent: 0

Tangent equation of the circle: x = 21 meaning that the tangent line is parallel to the y axis and that the radius is parallel to the x axis.

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