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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 21 Apr 2008, 03:47
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In the rectangular coordinate system, are the points (r,s) and (u,v) equidistance from the origin ?

1.r+s =
2. u = 1-r and v=1-s

Pls help.
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Re: DS- Rectangular coordinates [#permalink] New post 21 Apr 2008, 11:28
Looks like you didn't finish statement 1.

Statement 2 looks insufficient.

if r = 1 and s = 1 (point 1,1), then the other point = (0,0)

but if r = 1/2 and s = 1/2, then the other point is (1/2,1/2)
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Re: DS- Rectangular coordinates [#permalink] New post 22 Apr 2008, 02:38
patrannn wrote:
In the rectangular coordinate system, are the points (r,s) and (u,v) equidistance from the origin ?

1.r+s = 1
2. u = 1-r and v=1-s

Pls help.


Then (C) for me:
1. insuff, nothing is said about u and v
2. insuff for different r and s, e.g. if r=u+1 and s=v+1 "yes", for other - "no"

1+2: r=1-s and s=1-r, then u=s and v=r, we can draw 2 right triangles with hypotenuse = distance from origin, which are equal for both triangles (u^2 + v^2 = r^2 + b^2)
Re: DS- Rectangular coordinates   [#permalink] 22 Apr 2008, 02:38
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