Prove that the curves `"x"="y"^2` and `"x y"="k"` intersect at right angles if `8"k"^2=1.`

Explanation

`x=y^2`

`xy=k`

`y^3=k`

`y=k^3`

`x=h^(2/3)`

Point of intersection`(k^(2/3),k^(1/3))`

Slope of tangent at`(k^(2/3),k^(1/3))onx=y^2`

for curve xy=k

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