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Which of the following points are closer to (3, 9) than the point (5,
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18 Nov 2021, 01:11
18 Nov 2021, 01:11
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Question Stats:
52% (01:00) correct
47% (01:16) wrong based on 19 sessions
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Which of the following points are closer to (3, 9) than the point (5, 3) is?
(3, 1)
(1, 5)
(–1, 8)
(9, 3)
(0, 6)
GRE Tips and Tricks - UPDATED 11/15/2021
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
(3, 1)
(1, 5)
(–1, 8)
(9, 3)
(0, 6)
GRE Tips and Tricks - UPDATED 11/15/2021
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
Re: Which of the following points are closer to (3, 9) than the point (5,
[#permalink]
14 Dec 2021, 14:10
14 Dec 2021, 14:10
Expert Reply
There are two common approaches to solve such problems.
1- Calculating the distance between (3, 9) and (5, 3) and then comparing it with the distances between (3, 9) and the points given in the options.
2- Calculating the sum of the absolute difference between the x and y coordinates of the two points.
The second approach is quicker as we don't have to use the distance formula.
(3, 9) and (5, 3) are 5-3=2 units away along x-axis and 9-3=6 units away along y-axis. In total the two points are 2+6=8 units away
Now let's check each option.
A. (3, 9) and (3, 1) are 8 units away
B. (3, 9) and (1, 5) are 6 units away
C. (3, 9) and (-1, 8) are 5 units away
D. (3, 9) and (9, 3) are 12 units away
E. (3, 9) and (0, 6) are 6 units away
Hence, the correct options are B, C, and E.
1- Calculating the distance between (3, 9) and (5, 3) and then comparing it with the distances between (3, 9) and the points given in the options.
2- Calculating the sum of the absolute difference between the x and y coordinates of the two points.
The second approach is quicker as we don't have to use the distance formula.
(3, 9) and (5, 3) are 5-3=2 units away along x-axis and 9-3=6 units away along y-axis. In total the two points are 2+6=8 units away
Now let's check each option.
A. (3, 9) and (3, 1) are 8 units away
B. (3, 9) and (1, 5) are 6 units away
C. (3, 9) and (-1, 8) are 5 units away
D. (3, 9) and (9, 3) are 12 units away
E. (3, 9) and (0, 6) are 6 units away
Hence, the correct options are B, C, and E.
gmatclubot
Re: Which of the following points are closer to (3, 9) than the point (5, [#permalink]
14 Dec 2021, 14:10
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