For any point outside of a circle, is there ever only one tangent to the circle that passes through the point?

Question

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 through the other question answered. My question does not involve any actual numbers and equations. It's hard for me to find the answer within that question. ) Thank you!

always exactly two tangents through any external point – WW1 Dec 09 '16 at 01:12 — WW1, Dec 09 '16 at 01:12
Please don’t repost the same question. – amd Dec 09 '16 at 08:28 — amd, Dec 09 '16 at 08:28

score 0 · Answer 1 · answered Dec 09 '16 at 01:11

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There are two such tangents, in fact. No more, no less. And the points on which the tangents meet the circle, the centre of the circle, and the points from which the tangents were drawn are concyclic

answered Dec 09 '16 at 01:11

DynamoBlaze

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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?

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