Point Q lies in the interior of a particular circle. Is the point Q the center of the circle?

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Point Q lies in the interior of a particular circle. Is the point Q the center of the circle?

1) There exist points A, B, and C, all distinct point on the circle's circumference, such that the distances QA, QB, and QC are identical

2) At least two different diameters of the circle contain point Q

OA D
Source: — Data Sufficiency |