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# What is the equation of the tangent line that touches the circle x squared plus y squared -8x -16y -209 equals 0 at a coordinate of 21 and 8?

Updated: 4/28/2022

Wiki User

7y ago

Circle equation: x^2 +y^2 -8x -16y -209 = 0

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

Centre of circle: (4, 8)

Perpendicular tangent slope: 0

Tangent point of contact: (21, 8)

Tangent equation: x = 21 passing through (21, 0)

Wiki User

7y ago

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Q: What is the equation of the tangent line that touches the circle x squared plus y squared -8x -16y -209 equals 0 at a coordinate of 21 and 8?
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