Posted by Anonymous on Tuesday, January 11, 2011 at 3:28am.
Let x,y ∈ ℝ
(x,y) ∈ C
=> (-x,y) ∈ C ..... symm. about y-axis
=> (-x,-y) ∈ C ..... symm. about x-axis
Prove similarly that
(-x,-y)∈C => (x,y) ∈C.
Thus,
(x,y)∈C <=> (-x,-y)∈C
or C is symmetric about the origin.
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