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AB is any chord of the circle x^2+y^2-6x...

AB is any chord of the circle `x^2+y^2-6x-8y-11=0` which subtends an angle `pi/2` at `(1,2)`. If locus of midpoint of AB is a circle `x^2+y^2-2ax-2by-c=0`; then find the value of `(a+b+c)`.

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