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Two circles intersect each other at points A and B. A line PAQ cuts the two circles at points P and Q.The tangents at points P and Q intersect each other at point T. Prove that P,B,Q and T are con cyclic points.
Given-Two circles intersect each other at point A and B.
PAQ is a line which intersects circles at P,A and Q. At P and Q, tangents are drawn to the circles which meet at T.
To prove - P,B,Q,T are con cyclic.

But these are the opposite angles of the quadrilateral .
therefore Quad:PBQT is cyclic.
Hence P,B,Q and T are con cyclic.


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