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

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Manager
Joined: 20 Sep 2004
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In the xy-plane, point (r, s) lies on a circle with center [#permalink]  01 Nov 2004, 07:10
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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 r^2 + s^2?

(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.
GMAT Club Legend
Joined: 15 Dec 2003
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I think it's A
Question is really asking what the radius is. A gives that. B is out of scope
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Paul

Senior Manager
Joined: 21 Jun 2004
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I got A too. But am wondering what this below thing means.?

Quote:
2) The point (v2, -v2) lies on the circle.

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Intern
Joined: 25 Aug 2003
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Location: San Francisco, CA
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i got A too.

with radius 2 --> that means the other two sides of the triangle inside the circle have to be 2^1/2 and 2^1/2 (since the hypotenuse is 2 (a^2+b^2=c^2) so:

squaring the two sides gets 2+2 = 4

i think this is right.
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