Prove that the diagonals of the parallelogram formed by the four li...

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Prove that the diagonals of the parallelogram formed by the four lines:
\[
\frac{x}{a}+\frac{y}{b}=1, \frac{x}{b}+\frac{y}{a}=1, \frac{x}{a}+\frac{y}{b}=-1, \frac{x}{b}+\frac{y}{a}=-1
\]
are at right angles.
\( \mathrm{P} \)
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