On the \(xy\)- coordinate grid, are points \(A(x_1,y_1)\) and \(B(x_2,y_2)\) equidistant from the origin?

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On the \(xy\)- coordinate grid, are points \(A(x_1,y_1)\) and \(B(x_2,y_2)\) equidistant from the origin?

(1) \(|x_1|=|y_1|\) for point \(A\) and \(|x_2|=|y_2|\) for point \(B.\)

(2) \(|x_1|,|y_1|\) of point \(A = |x_2|,|y_2|\) of point \(B.\)

Answer: B

Source: e-GMAT
Source: — Data Sufficiency |