In the \(xy\)-plane, point \((r, s)\) lies on a circle with center at the origin. What is the value of \(r^2 + s^2?\)

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In the \(xy\)-plane, point \((r, s)\) lies on a circle with center at the origin. What is the value of \(r^2 + s^2?\)

(1) The circle has radius \(2.\)
(2) The point \((\sqrt2, -\sqrt2)\) lies on the circle.

Answer: D

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