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A curve is defined parametrically by the...

A curve is defined parametrically by the the equation `x=t^(2) and y=t^(3).` A variable pair of peerpendicular lines through the origin O meet the curve at P and Q. If the locus of the point of intersectin of the tangents at P and Q is `ay^(2)=bx-1,` then the value of `(a+b)` is `"______."`

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