If \(ABC\) is an equilateral triangle, \(AC\) lies on the

[swerve]

If \(ABC\) is an equilateral triangle, \(AC\) lies on the \(x-\)axis, and \(A\) is closer to the origin than \(C\), what are the coordinates of point \(A\)?

1) The coordinates of point \(C\) are \((6, 0)\).
2) The coordinates of point \(B\) are \((4, 2\sqrt{3})\).

The OA is B

Source: Economist GMAT