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For any point outside of a circle, is there ever only one tangent to the circle that passes through the point? Are there ever more than two such tangents? (I cannot find the exact answer i need. My question does not involve any actual numbers and equations. I just need a direct answer if there is only one tangent to the circle that passes through the point and why/how...) Thank you!

Danneh Corn
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  • Related: http://math.stackexchange.com/questions/891430/constructing-two-tangents-to-the-given-circle-from-the-point-a-not-on-it – Ethan Bolker Dec 09 '16 at 00:50

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There are exactly two tangents. Example

AlgorithmsX
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