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Show that the curves 4x=y^2 and 4x y=k c...

Show that the curves `4x=y^2` and `4x y=k` cut at right angles, if `k^2=512` .

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