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IF the tangent at (1,7) to the curve x ^...

IF the tangent at `(1,7)` to the curve `x ^(2) = y-6 ` touches the circle ` x^(2) + y^(2) + 16x + 12 y + c=0,` then the value of c is

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If the tangent at (1,7) to curve x^(2)=y-6 touches the circle x^(2)+y^(2)+16x+12y+c=0 then the value of c is