It is currently 19 Sep 2017, 05:01

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Distance from origin

Author Message
TAGS:

### Hide Tags

Manager
Joined: 11 Jul 2010
Posts: 224

Kudos [?]: 104 [0], given: 20

Is the following a property of the coordinate system? If [#permalink]

### Show Tags

25 Jul 2010, 06:42
Is the following a property of the coordinate system?

If (r,s) and (u,v) - two points - have the same coordinates in reverse order

i.e., (r,s) and (s,r) [u=s; v=r]

then points (r,s) and (u,v) will be equidistant from the origin (0,0) --- I read this an an explanation for Q. 164 (OG 12th ed) in the MGMAT companion to OG...

and couldn't completely follow why this would always be so...

Kudos [?]: 104 [0], given: 20

Math Expert
Joined: 02 Sep 2009
Posts: 41597

Kudos [?]: 123964 [1], given: 12070

### Show Tags

25 Jul 2010, 06:53
1
KUDOS
Expert's post
gmat1011 wrote:
Is the following a property of the coordinate system?

If (r,s) and (u,v) - two points - have the same coordinates in reverse order

i.e., (r,s) and (s,r) [u=s; v=r]

then points (r,s) and (u,v) will be equidistant from the origin (0,0) --- I read this an an explanation for Q. 164 (OG 12th ed) in the MGMAT companion to OG...

and couldn't completely follow why this would always be so...

Distance between the point $$(x,y)$$ and the origin can be found by the formula: $$D=\sqrt{x^2+y^2}$$.

So the distance between the point $$(r,s)$$ and the origin would be $$D=\sqrt{r^2+s^2}$$, and the distance between the point $$(s,r)$$ and the origin would be $$D=\sqrt{s^2+r^2}$$, which is the same.

For more please check Coordinate Geometry chapter of Math Book (link in my signature).

Hope it helps.
_________________

Kudos [?]: 123964 [1], given: 12070

Manager
Joined: 11 Jul 2010
Posts: 224

Kudos [?]: 104 [0], given: 20

### Show Tags

25 Jul 2010, 08:33
great - thanks bunuel

as always, very grateful for all the resources you have put together!

Kudos [?]: 104 [0], given: 20

Re: Distance from origin   [#permalink] 25 Jul 2010, 08:33
Similar topics Replies Last post
Similar
Topics:
2 Rate/Distance/Time question 4 18 Apr 2015, 00:23
76 Time, Speed, and Distance Simplified 10 16 Aug 2017, 08:25
Work Distance Problem 5 16 Aug 2011, 03:33
31 Dec 1969, 17:00
31 Dec 1969, 17:00
Display posts from previous: Sort by