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.

(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