The equation of a circle is
(x² – 4x + 3) + (y² – 6y + 8) = 0
Which of the following statements are correct?
I. The end points of a diameter of the circle are at (1, 2) and (3, 4).
II. The end points of a diameter of the circle are at (1, 4) and (3, 2).
III. The end points of a diameter of the circle are at (2, 4) and (4, 2).

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