Determine the point in \( X Y \)-Plane which is equidistant from three points \( A(2,0,3), B(0,3...

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Determine the point in \( X Y \)-Plane which is equidistant from three points \( A(2,0,3), B(0,3,2) \) and \( C(0,0,3) \).
(a) \( (1,2,0) \)
(b) \( \left(1, \frac{2}{3}, 0\right) \)
(c) \( \left(2, \frac{3}{2}, 0\right) \)
(d) \( (1,3,0) \)
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