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Find the angle of intersection of x y...

Find the angle of intersection of `x y=6` and `x^2y=12`

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`x y=6 text { and } x^{2} y=12`
Hence `frac{x^{2} y}{x y} Rightarrow x=2 Rightarrow y=3`
`xy=6 Rightarrow y=frac{6}{x} Rightarrow frac{dy}{dx}=frac{-6}{x^2}=frac{-3}{2}`
Let `m_{1}=frac{-3}{2}`
And `x^{2} y=12`
...
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