Is the point \(Q\) on the circle with center \(C ?\)

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Is the point \(Q\) on the circle with center \(C ?\)

(1) \(R\) is a point on the circle and the distance from \(Q\) to \(R\) is equal to the distance from \(Q\) to \(C.\)
(2) \(S\) is a point on the circle and the distance from \(Q\) to \(S\) is equal to the distance from \(S\) to \(C.\)

Answer: E

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