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A line is tangent to a circle at the point (2, 5). A parallel line is tangent to the circle at (9, 12). What is the common slope of the two lines? Express your answer as a common fraction.

 Nov 28, 2020

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To be parallel and tangent, the lines must be on opposite sides of the diameter.

    they will be perpindicular to that diameter line which has slope  (5-12) /(2-9) =1

       the perpindicular slope to this diameter is the slope of the tw lines = - 1/1 = -1

 

Here is a picture:

 Nov 28, 2020
edited by Guest  Nov 28, 2020
 #1
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+1
Best Answer

To be parallel and tangent, the lines must be on opposite sides of the diameter.

    they will be perpindicular to that diameter line which has slope  (5-12) /(2-9) =1

       the perpindicular slope to this diameter is the slope of the tw lines = - 1/1 = -1

 

Here is a picture:

Guest Nov 28, 2020
edited by Guest  Nov 28, 2020

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