UPSKILL MATH PLUS

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If the perpendicular bisector of a chord \(AB\) of a circle \(PXAQBY\) intersects the circle at \(P\) and \(Q\), prove that \(arc\) \(PXA ≅ arc\) \(PYB\). 
 
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This is a self assessment task. Solve this question and assess the solution steps after the completion of test on your own.