Coordinate Geometry

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swerve: Legendary Member; Posts: 2499; Joined: Sun Oct 29, 2017 2:04 pm; Followed by:6 members

Coordinate Geometry

by swerve » Tue May 05, 2020 8:01 am

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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: Beat The GMAT — Problem Solving | Tue May 05, 2020 8:01 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

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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