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Two unit circles are externally tangent at B. Let line AB and lineBC be diameters of the two circles. A tangent is drawn from A to the circle with diameter line BC, and a tangent is drawn from C to the circle with diameter AB so that the two tangent lines are parallel. Find the distance between the two lines of tangency

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 Apr 1, 2020
 #1
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We can use coordinates.  The equations of the lines are y = 1/3*(x + 2) and y = 1/3*(x - 2), and the distance between these lines is 2*sqrt(10)/5.

 Apr 1, 2020
 #2
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Are you sure

Guest Apr 2, 2020

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