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- · Show that Pv(aAR)=(PV@)(PVR) 2- Constmet a tnith foble for iR V Pe(eAR)]=> (R=>P)Plz show work tysmIf P divides OA internally in the ratio ?\index{1}:?\index{2} and Q divides OA extrnally in the ratio ?\index{1}:?\index{2} , them prove that OA is the harmonic mean of OP and OQ.and If the circumcenter of an acute-angled triangle lies at the origin and the centroid is the middle point of the line joining the points (a\power{2}+1,a\power{2}+1) and (2a, -2a), then find the orthocenter.