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Is x^2 + y^2 > 6?

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Source: — Data Sufficiency |
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by aj5105 » Wed May 13, 2009 10:14 pm
Combine:

Consider -2 and -1, you get NO

Consider 4 and 1/2, you get YES

Hence (E)
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by benissleeping » Thu May 14, 2009 5:39 am
(1) Expand to get

x^2 + 2xy + y^2 > 6

NS

(2) xy = 2 NS

Combined

x^2 + 4 + y^2 > 6
x^2 + y^2 > 2

so combined NS

Answer E
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by abhinav85 » Thu May 14, 2009 9:56 am
IMO E.

x^2 + y^2 > 6?
or
(x+y)(x-y) >6?

From A we get,
(x+y)^2>6 or
(x+y)(x+y)>6 not suffic.

From B we get,
xy=2 not suffic.

Together A and B its not suffic.

Hence E.
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