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If a line, y = mx + c is a tangent to th...

If a line, y = mx + c is a tangent to the circle, `(x-1)^2 + y^2 =1` and it is perpendicular to a line `L_1` , where `L_1` is the tangent to the circle `x^2 + y^2 = 8` at the point (2, 2), then :

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