If \(|x| = |y|\) and \(xy = 0,\) which of the following must be true?

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A

B

C

D

E

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If \(|x| = |y|\) and \(xy = 0,\) which of the following must be true?

A \(xy^2 > 0\)

B. \(x^2y > 0 \)

C. \(x+y=0\)

D. \(\dfrac{x}{y+1}=2\)

E. \(\dfrac1{x}+\dfrac1{y}=\dfrac12\)

[spoiler]OA=C[/spoiler]

Source: GMAT Prep
Source: — Problem Solving |