If the line \( a x+b y=2 \) is a normal to the circle \( x^{2}+y^{2...

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If the line \( a x+b y=2 \) is a normal to the circle \( x^{2}+y^{2}-4 x-4 y=0 \) and a
P tangent to the circle \( x^{2}+y^{2}=1 \) then
(a) \( a=\frac{1}{2}, b=\frac{1}{2} \)
(b) \( a=\frac{1+\sqrt{7}}{2}, b=\frac{1-\sqrt{7}}{2} \)
(c) \( a=\frac{1}{4}, b=\frac{3}{4} \)
(d) \( a=1, b=\sqrt{3} \)
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