Show that the points \( (7,1),(-2,4),(5,5) \) and \( (6,4) \) are concyclic. Also find the equat...

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Show that the points \( (7,1),(-2,4),(5,5) \) and \( (6,4) \) are concyclic. Also find the equation, centre and radius of the circle on which they lie.
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