In the rectangular coordinate system, are the points \((a,b)\) and \((c,d)\) equidistant from the origin?

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In the rectangular coordinate system, are the points \((a,b)\) and \((c,d)\) equidistant from the origin?

(1) \(\dfrac{a}{b}=\dfrac{c}{d}\)

(2) \(\sqrt{a^2}+\sqrt{b^2}=\sqrt{c^2}+\sqrt{d^2}\)

Answer: C

Source: GMAT Prep