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If the area enclosed by the parabolas y^2 = 16ax and x^2 = 16ay, a > 0 is 1024/3 square units,

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If the area enclosed by the parabolas y2 = 16ax and x2 = 16ay, a > 0 is 1024/3 square units, find the value of a.

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Area of the bounded region - 1024/3

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