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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!

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marked as duplicate by Namaste, amd, астон вілла олоф мэллбэрг, Rohan, Claude Leibovici Dec 10 '16 at 10:18

This question was marked as an exact duplicate of an existing question.

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There are exactly two tangents. Example

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There are in fact always exactly two. Find one tangent, and then take its mirror image reflected over the line through the centre of the circle and the given point.

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