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Coordinate Geometry

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by swerve » Tue May 05, 2020 8:01 am

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T6194.png
If the distance from P to O in the figure above is k, then what is the distance from O to point Q (not shown), whose coordinates are (4x, 4y)?

A. k/2
B. 2k
C. 4k
D. 8k
E. 16k

The OA is C

Source: Economist GMAT
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Source: — Problem Solving |

Re: Coordinate Geometry

by Scott@TargetTestPrep » Sat May 09, 2020 5:26 am
swerve wrote:
Tue May 05, 2020 8:01 am
T6194.png

If the distance from P to O in the figure above is k, then what is the distance from O to point Q (not shown), whose coordinates are (4x, 4y)?

A. k/2
B. 2k
C. 4k
D. 8k
E. 16k

The OA is C

Source: Economist GMAT
Since both the x- and y-coordinates of point Q is 4 times that of point R, respectively, the distance from O to Q will be 4 times that from O to P. Therefore, the distance from O to Q is 4k.

Answer: C

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