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30 Oct 2007, 11:42
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Does x+y=0?
1.xy<0
2. xsq=ysq
1.xy<0
2. xsq=ysq
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30 Oct 2007, 12:15
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el1981
i get B
1) not necessarily true
x = 2, y = -2 then yes
x = 2, y = -3 then no
2) sqrt of anything is only positive
so that means that xsq=ysq is xsq-ysq = 0
30 Oct 2007, 12:16
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el1981
st.1
xy <0> (x+y)(x-y) = 0
=> x= +y or -y
INSUFF information
combining st.1&2:
since |x|=|y|, we know x=y=0 is not possible if we assume st.1
for xy < 0 , one of them has to be +ve, and the other -ve.
since we know that x = -y will meet this condition,
x + y = -y + y = 0
hence, together they are sufficient
Ans: C
