Is $ a^2 x + b^2 y = 0 $ a quadratic equation, where $a, b$ are constants and $x, y$ are variables?

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Is $$ a^2 x + b^2 y = 0 $$ a quadratic equation, where $a, b$ are constants and $x, y$ are variables?

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No....it's just linear in the two variables $x$, $y$. $a^2$, $b^2$ are simply constants.

(Answer taken from comment by lulu.)