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A recntangle has its base on the x-axis and the other two vertices on the parabola y=a-x^2 where 'a belong to R ' such that the base is centered at...

A recntangle has its base on the x-axis and the other two vertices on the parabola y=a-x^2 where 'a belong to R ' such that the base is centered at (0,0). What is the largest possible area this rectangle can have?

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