If 𝑃(6,1) be the or...
 
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If 𝑃(6,1) be the orthocenter of the triangle whose vertices are 𝐴(5,−2), 𝐵(8, 3) 𝑎𝑛𝑑 𝐶(ℎ, 𝑘), then the point C lies on the circle:

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