Is x + y = 1???

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Source: — Data Sufficiency |

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by raju232007 » Sun Oct 12, 2008 12:59 am
x^2+y^2=1...(Given)

This statement can be written as (x+y)^2-2xy=1...(1)

statement 1:

Applying xy=0 in (1) we get
(x+y)^2=1
x+y=1 or x+y = -1

So this statement is insufficient

statement 2:

y=0
We have no information about x

Insufficient

Combining both the statements we have
x+y=1 or x+y=-1 and y=0
which gives rise to two values of x (i.e 1,-1) and y=1
so x+y will be 1 or -1

Hence the ans is E...Hope this helps