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If the sum of the squares of the interce...

If the sum of the squares of the intercepts on the axes cut off by the tangent to the curve `x^(1//3)+y^(1//3)=a^(1//3) "with" (a>0)` at `(a//8,a//8)` is 2, then`a` has the value

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If the sum of the squares of the intercepts on the axes cut off by the tangent to the curve x^(1//3)+y^(1//3)=a^(1//3)(a gt 0) at ((a)/(8),(a)/(8)) is 2 find the value of a.

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