In the rectangular coordinate system are the points A and B

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A

B

C

D

E

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Source: e-GMAT

In the rectangular coordinate system are the points \(A\) and \(B\) equidistant from point \(C (1, 0)\)?

1) Points \(A\) and \(B\) lie on circle \(R\), which passes through the origin and has a radius equal to 1.
2) The length bisector of the line segment \(AB\) passes through point \(C\).

The OA is E
Source: — Data Sufficiency |