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Is x^2 + y^2 > 6? (1) (x + y)^2 > 6 (2) xy = 2

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SVP
Joined: 04 May 2006
Posts: 1666
Schools: CBS, Kellogg
Is x^2 + y^2 > 6? (1) (x + y)^2 > 6 (2) xy = 2  [#permalink]

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17 Jun 2009, 23:49
1
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Is x^2 + y^2 > 6?
(1) (x + y)^2 > 6
(2) xy = 2

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18 Jun 2009, 01:32
1
Is x2+y2 > 6 .

stmt 2 :
xy = 2
x = 2 y =1 x2 + y2 <6
x = 4 y =1/2 x2 + y2 >6

Insufficient.

stmt 1 :

x2+ y2 > 6 -2 xy --1
when xy = 0 x2 + y2 > 6
when xy < 0 x2 + y2 > 6 . defintely greater than 6
when xy > 0 x2 + y2 may or may not be greater than 6.
depends on the value of x and y see above as in stmt 2.

In sufficient

Combining xy= 2 and x2+ y2 > 6 -2 xy
then u know x2 + y2 > 2 . Still no sure.

IMO E
VP
Joined: 05 Jul 2008
Posts: 1274

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18 Jun 2009, 07:34
Did the same and arrived at E
SVP
Joined: 04 May 2006
Posts: 1666
Schools: CBS, Kellogg

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18 Jun 2009, 18:20
I knew where i am confused. Thanks

OA is E
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Re: Is x^2 + y^2 > 6? (1) (x + y)^2 > 6 (2) xy = 2  [#permalink]

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10 Aug 2018, 11:07
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Re: Is x^2 + y^2 > 6? (1) (x + y)^2 > 6 (2) xy = 2 &nbs [#permalink] 10 Aug 2018, 11:07
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