\(X\) is a polygon with \(n [\geq3]\) sides. The centroid and the circumcentre of \(X\) happens to be the same point. Read the following statements about \(X\)

\([1]\). If \(n=3\), then \(X\) is a regular polygon.

\([2]\) If \(n=4\), then \(X\) is not necessarily a regular polygon.

\([3]\). \(X\) is a regular polygon whenever \(n\neq 4\).

Which of these statements are correct?

This problem is from the set "MCQ Is Not As Easy As 1-2-3". You can see the rest of the problems here.

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