In the xy plane, the segment with end points \( (3,8) \) and \( (-5,2) \) is the diameter of the...

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In the xy plane, the segment with end points \( (3,8) \) and \( (-5,2) \) is the diameter of the circle. The point
P \( (k, 10) \) lies on the circle for
(B) exactly one integral \( \mathrm{k} \)
(A) no value of \( \mathrm{k} \)
(D) two real values of \( \mathrm{k} \)
(C) exactly one non integral \( \mathrm{k} \)
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