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## The graph of the equation xy = k,

boomgoesthegmat Senior | Next Rank: 100 Posts
Joined
25 Apr 2016
Posted:
93 messages
1

#### The graph of the equation xy = k,

Tue May 03, 2016 2:49 pm

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

### GMAT/MBA Expert

Rich.C@EMPOWERgmat.com Elite Legendary Member
Joined
23 Jun 2013
Posted:
9305 messages
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478 members
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GMAT Score:
800
Mon Mar 12, 2018 5:22 pm
Hi All,

We're told that the graph of the equation (X)(Y) = K, where K < 0. We're asked for the two quadrants in which that graph would lie. This question can be solved by TESTing VALUES.

We're told that K is NEGATIVE. Let's TEST K = -2
(X)(Y) = -2

There are LOTS of different 'pairs' of values for X and Y that would fit this equation (since X and Y aren't necessarily integers). Here are two co-ordinates that are possible:
(X, Y)
(2, -1) --> this is in Quadrant 4
(-2, 1) --> this is in Quadrant 2

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

OptimusPrep Master | Next Rank: 500 Posts
Joined
13 Mar 2015
Posted:
410 messages
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GMAT Score:
770
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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