A common tangent is drawn to the circle \( x^{2}+y^{2}=a^{2} \) and the parabola \( y^{2}=4 b x ...

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A common tangent is drawn to the circle \( x^{2}+y^{2}=a^{2} \) and the parabola \( y^{2}=4 b x \). If the angle
\( \mathrm{P} \) which this tangent makes with the axis of \( x \) is \( \frac{\pi}{4} \), then

W the relationship between \( a \) and \( b \) is \( (a, b0) \)
(a) \( b=\sqrt{2} a \)
(b) \( a=b \sqrt{2} \)
(c) \( c=2 a \)
(d) \( a=2 c \)
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