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18 Dec 2014, 07:16
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Point (x, y) has in which quadrant of the rectangular coordinate system shown above ?
(1) x + y < 0
(2) x = 1 and y = -7
Attachment:
2014-12-18_1815.png [ 1.63 KiB | Viewed 11612 times ]
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
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
19 Dec 2014, 08:29
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Bunuel
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.
