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# help me pls... IF X+Y=2 AND X^2+Y^2=2, what is the value of XY?

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Intern
Joined: 10 Jul 2018
Posts: 6
help me pls... IF X+Y=2 AND X^2+Y^2=2, what is the value of XY?  [#permalink]

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11 Jul 2018, 14:33
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IF X+Y=2 AND X^2+Y^2=2, what is the value of XY?

A) -2
B) -1
C) 0
D) 1
E) 2
Intern
Joined: 21 Jun 2017
Posts: 4
Location: India
GMAT 1: 630 Q48 V30
GRE 1: Q150 V150
GPA: 3.9
Re: help me pls... IF X+Y=2 AND X^2+Y^2=2, what is the value of XY?  [#permalink]

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11 Jul 2018, 14:56
(X+Y)^2=(2)^2
(X^2+Y^2)+2XY=4
2+2XY=4
2XY=2
XY=1

Answer is d

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Math Expert
Joined: 02 Sep 2009
Posts: 49430
Re: help me pls... IF X+Y=2 AND X^2+Y^2=2, what is the value of XY?  [#permalink]

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11 Jul 2018, 20:21
joaolucas193 wrote:
IF X+Y=2 AND X^2+Y^2=2, what is the value of XY?

A) -2
B) -1
C) 0
D) 1
E) 2

This question is discussed here: https://gmatclub.com/forum/if-x-y-2-and ... 26195.html Hope it helps.

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Re: help me pls... IF X+Y=2 AND X^2+Y^2=2, what is the value of XY? &nbs [#permalink] 11 Jul 2018, 20:21
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# help me pls... IF X+Y=2 AND X^2+Y^2=2, what is the value of XY?

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