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The graph of the equation xy = k,

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boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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The graph of the equation xy = k,

Post Tue May 03, 2016 2:49 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])


    The graph of the equation xy = k, where k < 0, lies in which two of the quadrants shown above?

    A) I and II
    B) I and III
    C) II and III
    D) II and IV
    E) III and IV

    OA: D

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    OptimusPrep Master | Next Rank: 500 Posts
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    Post Tue May 03, 2016 7:19 pm
    boomgoesthegmat wrote:


    The graph of the equation xy = k, where k < 0, lies in which two of the quadrants shown above?

    A) I and II
    B) I and III
    C) II and III
    D) II and IV
    E) III and IV

    OA: D
    We are given that xy = -ve. This means x and y will have different signs.

    Hence when x > 0, y < 0 {Quadrant IV}
    And when x < 0, y > 0 {Quadrant II}

    Correct Option: D

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