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Which of the following pairs of coordinates corresponds to a point in
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07 Dec 2022, 13:55
07 Dec 2022, 13:55
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Question Stats:
83% (01:23) correct
16% (00:53) wrong based on 24 sessions
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GRE Which of the following pairs of coordinates corresponds to a point in the.jpg [ 16.45 KiB | Viewed 1960 times ]
Which of the following pairs of coordinates corresponds to a point in the shaded region of the graph shown above?
(9, −7)
(−9, −7)
(9, 7)
(7, −9)
(−7, −9)
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Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: Which of the following pairs of coordinates corresponds to a point in
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08 Dec 2022, 23:08
08 Dec 2022, 23:08
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Two points.
(I) Shaded region is in the quadrant where x>0 and y<0.
so only (9,-7) and (7,-9) are left.
Now the line passes through (10,10) and (0,0), so all points on the line have x=y.
the slope is lesser in the shaded region, which is above the line. Here the value of y should be lesser than the numeric value of x without the sign..
So |9|>|-7|
Answer: A
(I) Shaded region is in the quadrant where x>0 and y<0.
so only (9,-7) and (7,-9) are left.
Now the line passes through (10,10) and (0,0), so all points on the line have x=y.
the slope is lesser in the shaded region, which is above the line. Here the value of y should be lesser than the numeric value of x without the sign..
So |9|>|-7|
Answer: A
Re: Which of the following pairs of coordinates corresponds to a point in
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11 Dec 2022, 05:00
11 Dec 2022, 05:00
1
Expert Reply
OE
Use Process of Elimination to solve this one. First, only coordinate pairs with a positive x-value and a negative y-value will fall in the proper quadrant, so eliminate choices (B), (C), and (E). The line that divides the correct quadrant into shaded and unshaded regions has a slope of −1 because it goes through the origin and the point (−10, 10). On this line, the absolute value of the x-coordinate equals the absolute value of the y-coordinate. In the shaded region, then, |x|>|y|, so choice (D) can be eliminated. Only choice (A) remains. Alternatively, realize that this figure is drawn accurately, because of the placement of (10, −10), and plot all 5 points, eliminating all of those that fall outside the shaded region.
Use Process of Elimination to solve this one. First, only coordinate pairs with a positive x-value and a negative y-value will fall in the proper quadrant, so eliminate choices (B), (C), and (E). The line that divides the correct quadrant into shaded and unshaded regions has a slope of −1 because it goes through the origin and the point (−10, 10). On this line, the absolute value of the x-coordinate equals the absolute value of the y-coordinate. In the shaded region, then, |x|>|y|, so choice (D) can be eliminated. Only choice (A) remains. Alternatively, realize that this figure is drawn accurately, because of the placement of (10, −10), and plot all 5 points, eliminating all of those that fall outside the shaded region.
