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\\triangle

ABC be a triangle with circumcentre O. The perpendicular line from O to BC intersects line BC at M and line AC at P, and the perpendicular line from O to AC intersects line AC at N and line BC at Q. Let D be the intersection point of lines PQ and MN. construct the parallelogram PCQJ with PJ || CQ and QJ || CP.\nProve the following:
a) The points A, B, O, P, Q, J are all on the same circle.\nb) line OD is perpendicular to line CJ."}}]}]}]]}],"$L26"]}]]}]