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Father of a family wishes to divide his ...

Father of a family wishes to divide his square field bounded by ` x =0, x = 4, y = 4, ` and `y = 0` along the curve `y^(2) = 4x` and `x^(2) = 4y` into three equal parts for his wife, daughter and son. Is it possible to divide ? If so, find the area to be divided among them.

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