Can you think

Algebra Level 4

Define a b = a 2 b b 2 a a\clubsuit b={ a }^{ 2 }b-{ b }^{ 2 }a\quad .

Which of the following describes the set of points (x, y) for which x y = y x x\clubsuit y=y\clubsuit x

two parallel lines three lines a finite set of points one line

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