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+1 vote
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in Mathematics by (54.1k points)

Two circles intersect each other at points A and B. A straight line PAQ cuts the circles at P and Q. If the tangents at P and Q intersect at point T; show that the points P, B, Q and T are concyclic.

1 Answer

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by (88.2k points)
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Best answer

Join AB, PB and BQ

TP is the tangent and PA is a chord

But they are the opposite angles of the quadrilateral

Therefore, PBQT are cyclic.

Hence, P, B, Q and T are concyclic.

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