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

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In the xy-plane, point (r, s) lies on a circle with center [#permalink] New post 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.
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 [#permalink] New post 01 Nov 2004, 08:11
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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 [#permalink] New post 01 Nov 2004, 19:56
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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 [#permalink] New post 03 Nov 2004, 10:56
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.
  [#permalink] 03 Nov 2004, 10:56
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