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Points (x, -3) and ( -2, y), not shown in the figure above, are in qua

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Bunuel
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Points (x, -3) and ( -2, y), not shown in the figure above, are in qua [#permalink] New post   14 Oct 2019, 21:57
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Points (x, -3) and ( -2, y), not shown in the figure above, are in quadrants IV and II, respectively. If xy≠0, in which quadrant is point (x, y) ?


(A) I

(B) II

(C) III

(D) IV

(E) It cannot be determined from the information given.

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Re: Points (x, -3) and ( -2, y), not shown in the figure above, are in qua [#permalink] New post   14 Oct 2019, 22:34
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Bunuel wrote:

Points (x, -3) and ( -2, y), not shown in the figure above, are in quadrants IV and II, respectively. If xy≠0xy≠0, in which quadrant is point (x, y) ?


(A) I

(B) II

(C) III

(D) IV

(E) It cannot be determined from the information given.

Show Spoiler
Attachment:
xy.jpg



(x, -3) is in IV Quadrant --> x is +ve
( -2, y) is in II Quadrant --> y is +ve
--> (x, y) = (+ve, +ve) --> I Quadrant

IMO Option A
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Re: Points (x, -3) and ( -2, y), not shown in the figure above, are in qua [#permalink] New post   14 Oct 2019, 23:22


The first quadrant has a positive value for both x and y.
The second quadrant has a negative value of x and a positive value of y.
The third quadrant has a negative value for both x and y.
The fourth quadrant has a positive value of x and a negative value of y.

If the point (x, -3) is in the fourth quadrant, x will have a positive value.
If the point (-2, y) is in the second quadrant, y will have a positive value.

Therefore, (x,y) which has both positive values will lie in quadrant I(Option A)
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Re: Points (x, -3) and ( -2, y), not shown in the figure above, are in qua [#permalink] New post   14 Oct 2019, 23:56
Points (x, -3) and ( -2, y), not shown in the figure above, are in quadrants IV and II, respectively. If xy≠0xy≠0, in which quadrant is point (x, y) ?

Given: (×, -3) is in iv quadrant, means x is positive and (-2,y) is in ii quadrant, means y is positive. Neither of x nor y is 0. Hence, (x,y) is in I quadrant.

Answer A.

(A) I

(B) II

(C) III

(D) IV

(E) It cannot be determined from the information
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Re: Points (x, -3) and ( -2, y), not shown in the figure above, are in qua [#permalink] New post   21 Nov 2019, 03:22
Bunuel wrote:

Points (x, -3) and ( -2, y), not shown in the figure above, are in quadrants IV and II, respectively. If xy≠0xy≠0, in which quadrant is point (x, y) ?


(A) I

(B) II

(C) III

(D) IV

(E) It cannot be determined from the information given.

Show Spoiler
Attachment:
xy.jpg


If it were not given that the points are in quadrant IV and I respectively, then (x,-3) could be in either III or IV quadrant and (-2,y) in either II or III; hence (x,y) would be in III quadrant. Correct? Bunuel
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Re: Points (x, -3) and ( -2, y), not shown in the figure above, are in qua [#permalink] New post   24 Nov 2019, 19:01
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Bunuel wrote:

Points (x, -3) and ( -2, y), not shown in the figure above, are in quadrants IV and II, respectively. If xy≠0, in which quadrant is point (x, y) ?


(A) I

(B) II

(C) III

(D) IV

(E) It cannot be determined from the information given.

Show Spoiler
Attachment:
xy.jpg


Since (x, -3) is in quadrant IV, x must be positive. Since (-2, y) is in quadrant II, y must be positive. Therefore, (x, y) = (+, +) is in quadrant I.

Answer: A
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Re: Points (x, -3) and ( -2, y), not shown in the figure above, are in qua [#permalink]
24 Nov 2019, 19:01
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