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Consider the circle of radius 10 centered at the origin. provide answers accurate to two decimal places. (a) the equation of the tangent line to the circle through the point (-6,8) has equation y= x + . (b) suppose that l is a tangent line to this circle which is parallel to the line y=5x+7 and has a negative y intercept. then the point of tangency of l with this circle is ( , ).

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sqdancefan
(a) The equation of the tangent line can be written as
.. 3(x +6) -4(y -8) = 0
.. 3x -4y = -50
.. y = (3/4)x +25/2 . . . the equation of the tangent line


(b) The point of tangency will be the intersection of the circle with the perpendicular line through the circle center, y = (-1/5)x. A graphing calculator shows that point to be
.. (9.81, -1.96)
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