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# In the xy-plane, point (r, s) lies on a circle with center

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Senior Manager
Joined: 05 Jun 2008
Posts: 289
In the xy-plane, point (r, s) lies on a circle with center  [#permalink]

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24 Sep 2008, 08:19
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In the xy-plane, point (r, s) lies on a circle with center at the origin. What is the value of
r2 + s2?
(1) The circle has radius 2.
(2) The point (v2, -v2) lies on the circle.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

IMO ans should be A, am i right ?

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Intern
Joined: 02 Sep 2008
Posts: 45

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24 Sep 2008, 08:29
I think,

It is D.

St1: it is straight forward.

The circle has radius 2. so r2 + s2 = 4. it is sufficient.

St2: (v2, -v2) lies on the circle

so r = v2 and s = - v2.

So, v2^2 + (-v2^2) = 2 + 2 = 4. so it is sufficient.

Hence, both statements are alone sufficient.
Senior Manager
Joined: 05 Jun 2008
Posts: 289

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24 Sep 2008, 08:38
Twoone wrote:
I think,

It is D.

St1: it is straight forward.

The circle has radius 2. so r2 + s2 = 4. it is sufficient.

St2: (v2, -v2) lies on the circle

so r = v2 and s = - v2.

So, v2^2 + (-v2^2) = 2 + 2 = 4. so it is sufficient.

Hence, both statements are alone sufficient.

yes if St2: Point (v2, -v2) mean Sqrt (2), Sqrt (2)........i thought it is V2 Thanks

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Re: DS - Geometry &nbs [#permalink] 24 Sep 2008, 08:38
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