Circles

Geometry Level 4

Let circle A A be in the interior of circle B B and tangent to it at point M M . Let chord Q R QR of circle B B be tangent to circle A A at point P P .Then which of the following options is true.

Q M . P R = R M . P Q QM.PR = RM.PQ P M Q = P M R \angle PMQ = \angle PMR R M Q = 90 \angle RMQ = 90 P Q M = P R M \angle PQM = \angle PRM

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