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DS Coordinate geometry

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Joined: 30 Jun 2011
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DS Coordinate geometry [#permalink] New post 13 Jul 2011, 15:32
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

33% (00:00) correct 67% (00:39) wrong based on 3 sessions
In the rectangular coordinate system, are the points (v, w) and (x, y) equidistant from the origin?

1) v/w = x/y
2) sqrt(v^2) + sqrt(w^2)= sqrt(x^2) +sqrt(y^2)
Manager
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Joined: 31 May 2011
Posts: 90
Location: India
Concentration: Finance, International Business
GMAT Date: 12-07-2011
GPA: 3.22
WE: Information Technology (Computer Software)
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Kudos [?]: 29 [0], given: 4

GMAT Tests User
Re: DS Coordinate geometry [#permalink] New post 14 Jul 2011, 06:46
sm021984 wrote:
In the rectangular coordinate system, are the points (v, w) and (x, y) equidistant from the origin?

1) v/w = x/y
2) sqrt(v^2) + sqrt(w^2)= sqrt(x^2) +sqrt(y^2)



We know that the distance formula for a point from origin is {sqroot(a^2 + b^2)} --- Eq 1
where a,b are the co-ordinates.

So,
distance for point (v,w) D1= sqroot(v^2 + w^2)
distance for point (x,y) D2= sqroot(x^2 + y^2)

we have to find if D1 = D2

From statement 1: v, w can be any value Say 3,6 such that v/w=1/2
and x/y can be any value such that x/y = 1,2 . Therefore say x,y be 4,8

clearly this does not satisfies eq1 Hence not sufficient.

From statement 2 also it is clearly different from eq1. Not sufficient.

Statement 1,2 are also not sufficient together.

Hence E.


Please let me know if i am correct and the OA too
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Re: DS Coordinate geometry [#permalink] New post 14 Jul 2011, 07:16
sm021984 wrote:
In the rectangular coordinate system, are the points (v, w) and (x, y) equidistant from the origin?

1) v/w = x/y
2) sqrt(v^2) + sqrt(w^2)= sqrt(x^2) +sqrt(y^2)


St 1:V/W = X/Y......... clearly insufficient

St2: |v| + |w| = |X| + |y| ... Absolute value can give multiple values

1&2
we know v/w = x/y and |v| + |w| = |X| + |y|
sqrt(v^2) + sqrt(w^2)= sqrt(x^2) +sqrt(y^2)
sqrt(v^2) + sqrt(w^2)= sqrt(v^2) + sqrt(w^2)

hence C
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Re: DS Coordinate geometry [#permalink] New post 14 Jul 2011, 08:42
sudhir18n wrote:
sm021984 wrote:
In the rectangular coordinate system, are the points (v, w) and (x, y) equidistant from the origin?

1) v/w = x/y
2) sqrt(v^2) + sqrt(w^2)= sqrt(x^2) +sqrt(y^2)


St 1:V/W = X/Y......... clearly insufficient

St2: |v| + |w| = |X| + |y| ... Absolute value can give multiple values

1&2
we know v/w = x/y and |v| + |w| = |X| + |y|
sqrt(v^2) + sqrt(w^2)= sqrt(x^2) +sqrt(y^2)
sqrt(v^2) + sqrt(w^2)= sqrt(v^2) + sqrt(w^2)

hence C


Even i got the answer as E. What is the OA?

Sudhir18n,
I didn't understand the relation sqrt(v^2) + sqrt(w^2)= sqrt(x^2) +sqrt(y^2) implies
sqrt(v^2) + sqrt(w^2)= sqrt(v^2) + sqrt(w^2).
Could you please elaborate?
_________________

Cheers,
Varun


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Re: DS Coordinate geometry   [#permalink] 14 Jul 2011, 08:42
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