Prove that the curves \( 4 x=y^{2} \) and \( 4 x y=k \) cut at right angles if \( k^{2}=512 \). ...

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Prove that the curves \( 4 x=y^{2} \) and \( 4 x y=k \) cut at right angles if \( k^{2}=512 \).
\( \mathrm{P} \)
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