1) x^2 = y^2
lets check values for case 1. (0,0) (3,-3)
0^2 = 0^2; x = y TRUE
(-3)^2 = (3)^2 x =/=y FALSE.
INSUFFICIENT.
2) |x|^2 + |y|^2 = 2|xy|
values to check case 2.
(0,0)
|0|^2 + |0|^2 = 2|0|; x = y TRUE
(3,-3)
|3|^2 + |-3|^2 = 2|-9|
9 + 9 = 18
x =/=y FALSE.
INSUFFICIENT.
As you can see together, it doesn't restrict anything. we can still use (0,0) and (3,-3) which gives us contradicting values.
Therefore it is (E)
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Source: Beat The GMAT — Data Sufficiency |
