A curve is defined parametrically be equ...

A curve is defined parametrically be equations `x=t^2a n dy=t^3` . A variable pair of perpendicular lines through the origin `O` meet the curve of `Pa n dQ` . If the locus of the point of intersection of the tangents at `Pa n dQ` is `a y^2=b x-1,` then the value of `(a+b)` is____

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