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In the rectangular coordinate system are the points (r,s)
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15 Jul 2008, 09:40

In the rectangular coordinate system are the points (r,s) ans (u,v) equidistant from the origin? 1) r+s=1 2) u=1-r and v=1-s

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2) u=1-r v=1-s substitue in above equation you will get r+s = 1

so combing with 1, we can say both are equi distance

Hello what i don't understand is how you say r^2+s^2=u^2+v^2. I know we have r+s=1 => r^2+s^2=1-2*s*r and u+v=1 => u^2+v^2=1-2*u*v Since you conclude r^2+s^2=u^2+v^2 you must have concluded that r*s=u*v which i'm not sure about even when you combine the two assumptions!! I get E for this question.

Now use stmt 1(r+1=1) in the above eq v^2+u^2=2- 2(1) +r^2+s^2 =r^2+s^2

Thanks u right i just was lazy in this one!

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gmatclubot

Re: rectangular coordinate system &nbs
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25 Jul 2008, 05:25