Let \( A \) be one point of intersection of two intersecting circles with centres \( \mathrm{O} ...

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Let \( A \) be one point of intersection of two intersecting circles with centres \( \mathrm{O} \) and \( \mathrm{Q} \). The tangers at \( \mathrm{A} \) to the two circles meet the circles again at \( B \) and \( C \) respectively. Let the point \( \mathrm{P} \) be located so that AOPQ is a parallelogram. Prove that \( \mathrm{P} \) is the circumcentre of the triangle \( \mathrm{ABC} \).
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