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Distance from origin

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Manager
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Joined: 11 Jul 2010
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Is the following a property of the coordinate system? If [#permalink] New post 25 Jul 2010, 05:42
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...
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Re: Distance from origin [#permalink] New post 25 Jul 2010, 05:53
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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.
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Manager
Manager
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Joined: 11 Jul 2010
Posts: 228
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Kudos [?]: 56 [0], given: 20

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Re: Distance from origin [#permalink] New post 25 Jul 2010, 07:33
great - thanks bunuel

as always, very grateful for all the resources you have put together! :-D
Re: Distance from origin   [#permalink] 25 Jul 2010, 07:33
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