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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
ttp://postimg.org/image/id0kc8fz5/" target="_blank">

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:
ttp://postimg.org/image/id0kc8fz5/" target="_blank">

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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