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in the rectangular coordinate system, are the points (r,s)

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in the rectangular coordinate system, are the points (r,s) [#permalink] New post 17 Feb 2008, 17:21
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in the rectangular coordinate system, are the points (r,s) and (u,v) equidistant from the origin?
1. r+s=1
2. u=1-r and v=1-s
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Re: DS: Coord. system [#permalink] New post 17 Feb 2008, 19:05
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Distance of origin from (u,v) = sqrt(u^2 + v^2)
Now using #2, sqrt(u^2 + v^2) = sqrt(r^2 + s^2 + 2 - 2(r+s))
Using #1 this becomes sqrt(r^2+s^2)
Re: DS: Coord. system   [#permalink] 17 Feb 2008, 19:05
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