The locus of the vertex of the family of parabolas y = \(\frac{a^3 x^2}{3}\) + \(\frac{a^2 x}{2}\) - 2a is

1
xy = \(\frac{105}{64}\)
2
xy = \(\frac{3}{4}\)
3
xy = \(\frac{35}{16}\)
4
xy = \(\frac{64}{105}\)

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