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The area (in sq.units) of the part of th...

The area (in sq.units) of the part of the circle `x^(2)+y^(2)=169` which is below the line `5x-y=13` is `(pi alpha)/(2 beta)-(65)/(2)+(alpha)/(beta)sin^(-1)((12)/(13))`,where `alpha,beta` are coprime numbers.Then `alpha+beta`, is equal to

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