Question
Prove that the curves $x=y$ and $x y=k$ cut at right angles if $8 k^{2}=1$.
Step 1
This is done by setting $x=y$ and $x y=k$ equal to each other and solving for $x$ and $y$. We get $x=k^{1/3}$ and $y=k^{2/3}$. Show more…
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