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# rectangular cordinate.JPG

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26 Sep 2008, 11:36
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Re: gmat prep DS , rectangular co-ord [#permalink]

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30 Sep 2008, 11:53
Hi,

Plug in values...this is the best way for these probs.

Statement 1 is never gonna help alone as it does not mention anything abut u and v.

Statement 2, r and s=2.
you will get u = -1 and v = -1. SO its not possible. try another combination, it might be possible. so you cannot say anything for sure.

lets combine both.
r = 2 and s = -1. It satisfies eq : r+s=1
So u = -1 and v = 2.

Now we can say the answer correctly. try to put a a few more rough combinations to prove as well.

Award points if you feel.

Regards,
Max
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Re: gmat prep DS , rectangular co-ord [#permalink]

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30 Sep 2008, 17:13
Ans should be C
S1 : s=1-r and s=1-r does not tell anything abt u and v. Insuff
S2:u=1-r and v=1-s Cant say anything abt values. Insuff
Combining u=s and v=r lets assume values say coordinates are (1,2) and (2,1)
These coordinates are equidistant frm origin. Hence Suff

Nihit wrote:
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Re: gmat prep DS , rectangular co-ord [#permalink]

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30 Sep 2008, 17:26
C is correct

Is r ^2 + S ^2 = U ^2 + V ^2

r+s =1 does not tell about u +v

u = 1-r and v =1-s

Square and add to get u ^2 + v ^ 2 = 2 + r ^ 2 + s ^ 2 - 2 (r +s)

Insuff

use (1) in (2) to get U ^ 2 + v ^ 2 = R ^ 2 + S ^ 2
Re: gmat prep DS , rectangular co-ord   [#permalink] 30 Sep 2008, 17:26
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