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If (a/b)^(1/3) + (b/a)^(1/3) = sqrt3/2, ...

If` (a/b)^(1/3) + (b/a)^(1/3) = sqrt3/2`, then the angle of intersection of the parabola `y^2 = 4ax and x^2 = 4by` at the point other than the origin is

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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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