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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 16 Aug 2004, 20:29
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A
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D
E

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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.

please explain, thank you
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 [#permalink] New post 16 Aug 2004, 21:29
is this r^2 + s^2?

If so I would Say A.

If not I would Say E.
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 [#permalink] New post 17 Aug 2004, 07:13
Yes, indeed , r^2 + s^2,

thank you
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 [#permalink] New post 17 Aug 2004, 22:15
can anyone explain this to the author please?

thanks
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 [#permalink] New post 17 Aug 2004, 23:54
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

So (A) is the answer
  [#permalink] 17 Aug 2004, 23:54
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In the xy-plane, point (r, s) lies on a circle with center

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