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Show that the curves 2x=y^2 and 2x y=k c...

Show that the curves `2x=y^2` and `2x y=k` cut at right angles, if `k^2=8` .

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Given:
`2 x=y^{2} ldots(1)`
`2 x y=k . .(2)`
From `(1)` and `(2)`, we get
`y^{3}=k `
...
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