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Circle (Posted on 2005-07-28) Difficulty: 5 of 5
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Ugly solution Comment 5 of 5 |
(In reply to Ugly solution by KC)

To NS: Good problem. I tried  to bring up the rating from a mere D1.

To TKC: Nice solution.

Edited on July 2, 2013, 3:36 pm
  Posted by K Sengupta on 2013-07-02 15:35:21

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