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Is the point (x,y) in the fourth quadrant?

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Re: Is the point (x,y) in the fourth quadrant?  [#permalink]

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New post 02 Feb 2012, 23:31
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Re: Is the point (x,y) in the fourth quadrant?  [#permalink]

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New post 30 Sep 2018, 14:25
Jones105 wrote:
Is the point (x,y) in the fourth quadrant)?

(1) xy >0
(2) y > 0

I recently took a practice test with my iPhone software (GMAT Math ver 1.1) and got a question I don't altogether agree with. Can someone help me out here?

The software says 1 alone is sufficient, but I think you need both.
My reasoning is that x could be -2 and y=-2, in that case, xy = 4 > 0. That would put the point in the 3rd quadrant while 2,2 would also fulfill that and put it in the 1st quad. Therefore 1 alone shouldn't be enough to be conclusive.

thanks for any insights...


First quadrant both are positive (x,y)
Second quadrant x is negative and y is positive (-x, y)
Third quadrant both are negative (-x, -y )
Fourth quadrant x is positive and y is negative (x, -y)

Statement 1)

xy>0 means that x and y must be of the same sign. so either in first or third quadrant. we know for sure it is not in the fourth quadrant. Sufficient.

Statement 2)

y > 0 we know that the fourth quadrant has a negative y so we know for sure that is not in the fourth quadrant. Sufficient.

Answer choice D
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Re: Is the point (x,y) in the fourth quadrant?   [#permalink] 30 Sep 2018, 14:25

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