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Point (x, y) has in which quadrant of the rectangular coordinate syste

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Point (x, y) has in which quadrant of the rectangular coordinate syste  [#permalink]

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New post 18 Dec 2014, 07:16
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Tough and Tricky questions: Coordinate Geometry.



Attachment:
2014-12-18_1815.png
2014-12-18_1815.png [ 1.63 KiB | Viewed 1502 times ]
Point (x, y) has in which quadrant of the rectangular coordinate system shown above ?

(1) x + y < 0
(2) x = 1 and y = -7

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Re: Point (x, y) has in which quadrant of the rectangular coordinate syste  [#permalink]

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New post 18 Dec 2014, 08:13
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1. except in the first quadrant and at the center this inequality is satisfied in all 3 quadrants. Insufficeint

2. (1,-7) can lie only in the 4th quadrant since we know that in 4th quandrant x is +ve and y is -ve
Sufficeint

Ans B
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Re: Point (x, y) has in which quadrant of the rectangular coordinate syste  [#permalink]

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New post 19 Dec 2014, 08:29
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Bunuel wrote:

Tough and Tricky questions: Coordinate Geometry.



Attachment:
2014-12-18_1815.png
Point (x, y) has in which quadrant of the rectangular coordinate system shown above ?

(1) x + y < 0
(2) x = 1 and y = -7

Kudos for a correct solution.


(1) x + y < 0

Plug in some integers:
x=5
y=-10
x+y <0 ==> 5-10<0 ==> Q4

x=-10
y=5
x+y <0 ==> -10+5<0 ==> Q2

(we could stop here and consider (1) as NS, since (x,y) can be in more than one quadrant.

x=-10
y=-5
x+y <0 ==> -10-5<0 ==> Q3

Not sufficient as we can easily satisfy 3 quadrants.

(2) x = 1 and y = -7

x=1
y=-7
x+y <0 ==> 1-7<0 ==> Q4

Sufficient (B). Point (x,y) can only be in Q4.
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Re: Point (x, y) has in which quadrant of the rectangular coordinate syste  [#permalink]

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New post 19 Dec 2014, 11:38
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Statement 1: x + y < 0 - Insufficient
Case 1: x is negative and greater is magnitude eg (-5,3) - Second Quadrant
Case 2: y is negative and greater is magnitude eg (5,-6) - Fourth Quadrant
Case 1: x and y both are negative eg (-5,-3) - Third Quadrant

Statement 2: x = 1 and y = -7 - Ordered pair (1,-7) lies in Fourth Quadrant - Sufficient

Answer B
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Re: Point (x, y) has in which quadrant of the rectangular coordinate syste  [#permalink]

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New post 06 Dec 2017, 00:24
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Re: Point (x, y) has in which quadrant of the rectangular coordinate syste &nbs [#permalink] 06 Dec 2017, 00:24
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