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If |a/b| and |x/y| are reciprocals and

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If |a/b| and |x/y| are reciprocals and [#permalink] New post 12 Aug 2018, 09:54
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If \(|\frac{a}{b}|\) and \(|\frac{x}{y}|\) are reciprocals and \(\frac{a}{b} (\frac{x}{y}) < 0\), which of the following must be true?

A. \(ab < 0\)

B. \(\frac{a}{b} (\frac{x}{y}) < -1\)

C. \(\frac{a}{b} < 1\)

D. \(\frac{a}{b} = \frac{-y}{x}\)

E. \(\frac{y}{x} > \frac{a}{b}\)
[Reveal] Spoiler: OA

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Re: If |a/b| and |x/y| are reciprocals and [#permalink] New post 13 Sep 2018, 12:32
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using the definition of absolute values, we can say a/b is either y/x or -y/x. but as the second condition implies, these two fractions hold opposite signs.

so a/b=-y/x
Re: If |a/b| and |x/y| are reciprocals and   [#permalink] 13 Sep 2018, 12:32
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If |a/b| and |x/y| are reciprocals and

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