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

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VP
Joined: 26 Apr 2004
Posts: 1225
Location: Taiwan
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In the xy-plane, point (r, s) lies on a circle with center [#permalink]  16 Aug 2004, 20:29
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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.

Senior Manager
Joined: 25 Jul 2004
Posts: 274
Followers: 1

Kudos [?]: 7 [0], given: 0

is this r^2 + s^2?

If so I would Say A.

If not I would Say E.
VP
Joined: 26 Apr 2004
Posts: 1225
Location: Taiwan
Followers: 2

Kudos [?]: 198 [0], given: 0

Yes, indeed , r^2 + s^2,

thank you
CEO
Joined: 15 Aug 2003
Posts: 3467
Followers: 61

Kudos [?]: 718 [0], given: 781

can anyone explain this to the author please?

thanks
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5068
Location: Singapore
Followers: 23

Kudos [?]: 194 [0], given: 0

If (r,s) lies on the circle, then if we are told the radius, we can find out r^2 + s^2 using pythagoras theorem

(1) If radius is 2, then r^2+s^2 = 4. So (1) is sufficient

(2) is not sufficient, as we do not have a radius to equate and no other information pertaining to v2 and -v2 is given

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