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Thread: Tangets of a circle

  1. #1
    Senior Member
    Nov 2007

    Tangets of a circle

    The lengths of the tangents drawn from the points A and B to a circle k are a and b, respectively. We know that \frac{AT}{a}=\frac{BT}{b} (and A, B, T are not collinear.) Prove that the circle passing through the points A, B, T touches k.
    Attached Thumbnails Attached Thumbnails Tangets of a circle-circle_with_tangents_cropped.png  
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