perplexus.info :: Geometry : Circle

Circle (Posted on 2005-07-28)

C is a circle with center O. AB is a chord not passing through O. M is the midpoint of AB. C' is the circle with diameter OM. T is a point on C'. The tangent to C' at T meets C at P. Show that PA² + PB² = 4 PT².

No Solution Yet Submitted by nilshady

Rating: 3.6667 (3 votes)

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re: Ugly solution

Comment 6 of 6 |

(In reply to Ugly solution by KC)

Great and innovative solution based on co-ordinate geometry.

I am absolutely at a loss to understand why you have deemed it "ugly".

Posted by K Sengupta on 2023-01-07 02:02:44

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