If a line, \( y=m x+c \) is a tangent to the circle, \( (x-3)^{2} \...

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If a line, \( y=m x+c \) is a tangent to the circle, \( (x-3)^{2} \)
\( \mathrm{P} \) \( +y^{2}=1 \) and it is perpendicular to a line \( L_{1} \), where \( L_{1} \)

W is the tangent to the circle, \( x^{2}+y^{2}=1 \) at the point \( \left(\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right) ; \) then
(1) \( c^{2}+6 c+7=0 \)
(2) \( c^{2}-7 c+6=0 \)
(3) \( c^{2}+7 c+6=0 \)
(4) \( c^{2}-6 c+7=0 \)
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