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

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

Radius of circle: 17

Center of circle: (4, 8)

Point of contact: (21, 8)

Slope of radius: 0

Slope of tangent line: 0

Equation of tangent line: x = 21 which means it touches the circle at (21, 0) which is a straight vertical line parallel to the y axis

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โˆ™ 2017-08-30 14:28:04
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โˆ™ 2017-08-30 10:57:13

The equation is x = 21.

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Q: What is the tangent line equation of the circle x2 plus y2 -8x -16y -209 equals 0 when it touches the circle at 21 8 on the Cartesian plane?
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