The diagonals AC and BD of a cyclic quadrilateral ABCD intersect at P.Let O be the circumcentre of triangle APB and H the orthocentre of triangle CPD.Show that H,P,O are colinear.

The diagonals AC and BD of a cyclic quadrilateral ABCD intersect at P.

1.	The diagonals AC and BD of a cyclic quadrilateral ABCD intersect at P.Let O be the circumcentre of triangle APB and H the orthocentre of triangle CPD.Show that H,P,O are colinear.
Answer» The diagonals AC and BD of a cyclic quadrilateral ABCD intersect at P.Let O be the circumcentre of triangle APB and H the orthocentre of triangle CPD.Show that H,P,O are colinear.