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P, Q, R, S are four points on a circle x 2 +y 2 =c 2 . Prove that the orthocenters of the four triangles PQR, QRS, RSP, and SPQ are concyclic.

P, Q, R, S are four points on a circle x2+y2=c2. Prove that the orthocenters of the four triangles PQR, QRS, RSP, and SPQ are concyclic.

Grade:12

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