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 t...
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0If the line \( a x+b y=2 \) is a normal to the circle \( x^{2}+y^{2}-4 x \) \( -4 y=0 \) and a 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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