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

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Manager
Joined: 10 Oct 2008
Posts: 56
In the xy-plane, point (r, s) lies on a circle with center [#permalink]

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17 Oct 2008, 09:50
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 (√2, -√2) 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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SVP
Joined: 17 Jun 2008
Posts: 1502

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17 Oct 2008, 12:28
D.

Stmt1: If radius is 2 then r^2 + s^2 = 4.
Stmt2: The point gives the radius as 4. Hence, r^2 + s^2 = 4
Senior Manager
Joined: 21 Apr 2008
Posts: 265
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17 Oct 2008, 12:57
scthakur wrote:
D.

Stmt1: If radius is 2 then r^2 + s^2 = 4.
Stmt2: The point gives the radius as 4. Hence, r^2 + s^2 = 4

agreed
VP
Joined: 17 Jun 2008
Posts: 1322

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17 Oct 2008, 13:49
LiveStronger wrote:
scthakur wrote:
D.

Stmt1: If radius is 2 then r^2 + s^2 = 4.
Stmt2: The point gives the radius as 4. Hence, r^2 + s^2 = 4

agreed

Same as above

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Re: xy plane   [#permalink] 17 Oct 2008, 13:49
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# In the xy-plane, point (r, s) lies on a circle with center

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