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

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by M7MBA » Sat Jul 25, 2020 3:05 pm

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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

[spoiler]OA=D[/spoiler]

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Source: Beat The GMAT — Problem Solving | Sat Jul 25, 2020 3:05 pm

dashingnightmare: Senior | Next Rank: 100 Posts; Posts: 31; Joined: Fri Jul 24, 2020 9:40 pm

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

by dashingnightmare » Sun Jul 26, 2020 12:11 am

since, xy=k, and k<0 implies that one of x or y is -ve and other one is +ve
cases1 : x is negative,y is positive =>quadrant 2
case2: x is positive, y is negative,=>quadrant 4
Hence D.

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