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Find the angle between the parabolas ...

Find the angle between the parabolas `y^2=4a x` and `x^2=4b y` at their point of intersection other than the origin.

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The correct Answer is:
`tan^(-1)((3a^(1//3)b^(1//3))/(2(a^(2//3)+b^(2//3)))).`
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