AB is any chord of the circle x^(2)+y^(...

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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